1 - 12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is :
4 cm
2 - 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man 4 m³, then the rise in the water level in the tank will be :
25 cm
3 - 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
84 m
4 - 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
84
5 - A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is:
60 kg
6 - A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
60 kg
7 - A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
25000
8 - A circular well with a diameter of 2 metres, is dug to a depth of 14 metres. What is the volume of the earth dug out
44 m³
9 - A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
36 m²
10 - A cistern can be filled by two pipes. A and B in 12 minutes and 14 minutes respectively and can be emptied by a third pipe C in 8 minutes. If all the taps be turned on at the same moment, what part of
19/24
11 - A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is :
1 dm
12 - A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
1 dm
13 - A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is__________?
1 dm
14 - A come of height 7 cm and base radius 3 cm is curved from a rectangular block of wood 10 cm x 5 cm x 2 cm. The percentage of wood wasted is ?
0.34
15 - A cone is inscribed in a hemisphere such that their bases are common. If X is the volume of the cone and Y that of the hemisphere, then what is the value of the Y: X.
0.084027777778
16 - A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. The percentage of the wood wasted is :
0.75
17 - A conical flask of base radius ‘r’ and height ‘h’ is full of water. The water is now poured into a cylinderical flask of radius ‘2r’. What is the height to which water will rise in the flask?
h/12
18 - A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 cm2. Which one of the following is correct ?
Both cube and cuboid can be painted
19 - A cube of edge 5 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to :
0.059027777778
20 - A cuboidal block of 6 cm × 9 cm × 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be :
24
21 - A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is__________?
0.12569444444
22 - A cylinder tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by:
11 3/7 cm
23 - A cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm. The radius of the cone will be :
8 cm
24 - A cylindrical container of diameter 14 cm and height 6 cm is full of Milk. The Milk is emptied into a rectangular tub of length 33 cm and breadth 14 cm. The height of which Milk rises in the tub is
2cm
25 - A cylindrical container of diameter 42 m and height 24 m is full of Diesel. The Diesel is emptied into a rectangular pool of length 132 m and breadth 56 m. The height of which Diesel rises in the pool
4.5m
26 - A cylindrical container of radius 28 m and height 24 m is full of water. The Water is emptied into a swimming pool of length 100 m and breadth 28 m. The height of which Water rises in the swimming poo
21.12 m
27 - A cylindrical piece of metal of radius 2 cm and height 6 cm is shaped into a cone of same radius. The height of the cone is ?
18 cm
28 - A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball ?
9 cm
29 - A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm. The metal everywhere is 0.4 cm thick. The volume of the metal is:
306.24 cm³
30 - A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 60 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder ?
40 cm
31 - A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by :
9/4 cm
32 - A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by ?
2.25 cm
33 - A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm lowered into the water until it is completely immersed. The water level in the vessel will rise by ?
9/4 cm
34 - A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls, the volume of the hall is :
1200 m³
35 - A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
1200
36 - A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be :
√2 : 1
37 - A hemisphere has 28 cm diameter. Find its curved surface area. ?
1232 sq cm
38 - A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is 5C% more than its height. If the diameter is same for bot
1
39 - A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to
54
40 - A hollow cylinder open at both ends is made of steel 2cm thick. What will be the volume of steel used in making the cylinder, if the external diameter is 24cm and the length of cylinder is 55cm.
7598.8 cu.cm
41 - A hollow cylindrical pipe open at both ends is made of rubber 5cm thick. What will be the volume of rubber used in making the pipe, if the external diameter is 100cm and the length of cylinder is 50cm
74575 cu.cm
42 - A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. The volume of iron used is ?
107712 cubic cm
43 - A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:
3.696 kg
44 - A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. The height of the cone is :
14 cm
45 - A hollow spherical metallic ball has an external diameter 6 cm and is ½ cm thick. The volume of metal used in the ball is :
47 2/3 cm³
46 - A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube
1.0541666667
47 - A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
1.0541666667
48 - A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
1.0541666667
49 - A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________?
286 cm^2
50 - A metal sphere of radius 3cm is drawn into a wire of diameter 44mm. Then find the length of the wire ?
9m
51 - A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then :
H = 2R
52 - A metallic sheet is of rectangular shape with dimensions 48 m × 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box
5120 cm³
53 - A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box
5120
54 - A metallic sphere of radius 12 cm is melted into three smaller spheres. If the radii of two smaller spheres are 6 cm and 8 cm, the radius of the third is ?
10 cm
55 - A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid ?
0.12569444444
56 - A radius of the base of a right circular cone is 6 cm and its slant height is 28 cm. The curved surface area of the cone is ?
528 sq. cm
57 - A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.
40
58 - A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m^2; find the length of the diagonal of the courtyard?
50 m
59 - A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
10 cm
60 - A rectangular tank has 2.6 cu m of water. If the area of the base of the tank is 6500 sq cm, then the depth of water (in m) is ?
4
61 - A rectangular water tank is 80 m × 40 m. Water flows into it through a pipe 40 sq. cm at the opening at a speed of 10 km/hr. By how much, the water level will rise in the tank in half an hour
5/8 cm
62 - A right circular cone of height h is cut by a plane parallel to the base at a distance h/3 from the base, then the volumes of the resulting come and the frustum are in the ratio ?
45157
63 - A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is ?
0.04375
64 - A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________?
0.04375
65 - A right cylindrical vessel is full with water. How many right cones having the same diameter and height as those of the right cylinder will be needed to store that water ?
3
66 - A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is :
12π cm³
67 - A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
12 pi cub.cm
68 - A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
4500 M3
69 - A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m^2 ?
Rs.57
70 - A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of the cone is h. If the total volume of the solid is three times the volume of the cone then the height of the cylinder is________?
2h/3
71 - A solid cylindrical block of radius 12 cm and height 18 cm is mounted with a conical block of radius 12 cm and height 5 sm. The total lateral surface of the solid thus formed is :
1357 5/7 cm²
72 - A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is :
3 cm
73 - A solid piece of iron of dimensions 49 × 33 × 24 cm is moulded into a sphere. The radius of the sphere is :
21 cm
74 - A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls, The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is ?
2.25 cm
75 - A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls. ?
8000
76 - A square has its side equal to the radius of ball. The ball revolves round a side to generate a surface of total area X. If Y be the surface area of the sphere ,then which option is correct?
X=Y
77 - A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is :
270 m³
78 - A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?
2.98 cm
79 - A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 22 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the rose in level of the field will be ?
2.98 cm
80 - A tank 30 m long, 20 m wide and 12 m deep is dug in a field 500 m long and 30 m wide. By how much will the level of the field rise, if the Earth dug of the tank is evenly spread over the field ?
0.5 m
81 - A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangular boxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number of boxes that can be carried in 1 wooden box is ?
1000000
82 - A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x 6cm. The maximum number of boxes that can be carried in 1 wooden box is?
1000000
83 - An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are :
20 cm, 100 cm
84 - Bricks are worth Rs. 750 per 1000 and their length, breadth and height 25 cm, 12.5 cm and 7.5 cm respectively. The cost of bricks required to build a wall 200 m long, 1.8 m high and 37.5 cm thick is ?
Rs. 43, 200
85 - Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
6000
86 - Find the area of base of Cuboid, if the volume and height are 4000cm3 and 50 cm respectively?
80 sq.cm
87 - Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
Rs.1485
88 - Find the height of a Cuboid , if the volume and area of its base is 1240cm3 and 40 sq.cm respectively.
31 cm
89 - Find the length of the wire required to go 15 times round a square field containing 69696 m^2.
15840 m
90 - Find the length of wire used, if the curved surface of a cylinder is 1000 sq.cm. A wire of diameter 5mm is wound around it, so as to cover it completely?
2000cm
91 - Find the ratio between whole surfaces of a sphere and a hemisphere?
0.16875
92 - Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.
0.043055555556
93 - Find the surface area of a 10 cm × 4 cm × 3 cm brick.
164 sq. cm
94 - Find the surface area of a cuboid 10 m long, 5 m broad and 3 m high ?
190 sq m
95 - Find the volume , if the surface area of a cube is 150 sq. cm?
125 cu.cm
96 - Find the volume, If the surface area of a cube is 2400 sq.cm.
8000 cu.cm
97 - From a cylindrical log whose height is equal to its diameter, the greatest possible sphere has been taken out. What is the fraction of the original log which is cut away?
44960
98 - How many bricks, each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build a wall 8 m × 6 m × 22.5 cm
6400
99 - How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bullet being 2 cm in diameter ?
2541
100 - How many cm of paper sheet 10cm wide will be required to make a cone, the radius of whose base is 9 cm and whose height is 12cm.
42.39
101 - How many cubes of 10 cm edge can be put in a cubical box of 1 m edge
1000
102 - How many cubes of 10cm edge can be put in a cubical box of 1m edge
1000
103 - How many cubes of 3 cm edge be cut out of a cube of 18 cm edge ?
216
104 - How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge
216
105 - How many cubes of 3cm edge can be cut out of a cube of 18cm edge
216
106 - How many cubes of edge 2 dm can be cut out of a meter cube?
125
107 - How many iron rods, each of length 7 m and diameter 2 cm can be made out of 0.88 cubic metre of iron.
400
108 - How many metal balls each of radius 18cm can be made by melting a big metal ball whose radius is 2cm.
729
109 - How many metal sphere each of radius 4cm can be made by melting a big metal sphere whose radius is 16.
64
110 - How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?
1200
111 - How many metre of cloth 10 m wide will be required to make a conical tent, the diameter of whose base is 28 m and whose height is 20m.
107.3
112 - How many shots of 1cm radius can be prepared from a sphere of 3cm radius?
27
113 - How many spherical bullets can be made out of a lead cylinder 28 cm, high and with base radius 6 cm, each bullet being 1.5 cm. in diameter.
1792
114 - If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original
0.25 kg
115 - If a right circular cone of height 24 cm has a volume of 1232 cm³, then the area of its curved surface is :
550 cm²
116 - If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm^2) is________?
100π
117 - If both radius of the base and the height of a right circular cone are increased by 20%, its volume will be increased by :
0.728
118 - If each edge of a cube is increased in increased by 50%, the percentage increase in surface area is ?
1.25
119 - If each side of a cube is decreased by 19 %, then decrease in surface area of cube is ?
0.3439
120 - If each side of a cube is decreased by 19%, then decrease in surface area is ?
0.3439
121 - If height of a cylinder is increased by 17.5 % while its radius remains unchanged, by what percent does its volume increase ?
0.175
122 - If height of cylinder is decreased by 8%, while its radius remains unchanged, by what per cent does the volume decrease ?
0.08
123 - If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
1000
124 - If radius of a sphere is decreased by 24%, by what per cent does its surface area decrease ?
0.4224
125 - If radius of sphere is decreased by 24%. By what per cent does the surface area decrease ?
0.4224
126 - If radius of sphere is decreased by 24%. By what per cent does the surface area decrease ?
0.4224
127 - If the areas of the three adjacent faces of a cuboidal box are 120 cm², 72 cm² and 60 cm² respectively, then find the volume of the box.
720 cm³
128 - If the diameter of a sphere is doubled , how does its surface area change?
increases four times
129 - If the height of a come is doubled, then its volume is increased by ?
1
130 - If the height of a cone be doubled and radius of base remains the same, then the ratio of the volume of the given cone to that of the second cone will be :
0.043055555556
131 - If the height of a cone is increased by 100% then its volume is increased by_________?
1
132 - If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the value of the cone :
decreases by 25%
133 - If the height of the right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone ?
decreases by 25%
134 - If the height of the right circular cone is increased by 200% and the radius of the base is reduced by 50%. Then, the change in the volume of cone is ?
decreases by 25%
135 - If the lateral surface area of a cylinder is 94.2 sq cm and its height is 5 cm, then find the radius of its base. (π = 3.14) ?
3 cm
136 - If the length breadth and the height of cuboid are in the ratio 6 :5 : 4 and if the total surface area is 33300 cm2, then the length, breadth and height in cm. are respectively ?
90, 75, 60
137 - If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm^2, then length breadth and height in cms, are respectively?
90, 75,60
138 - If the measured value of the radius is 1.5% larger, the percentage error (correct to one decimal place) made in calculating the volume of a sphere is :
0.046
139 - If the radius of a cylinder is decreased by 8%, while its height is increased by 4%, what will be the effect on volume ?
11.9744% (decrease)
140 - If the radius of a cylinder is increased by 25% and its height remains unchanged, then find the percent increase in volume. ?
0.5625
141 - If the radius of a sphere is doubled, then its surface area is increased by ?
3
142 - If the radius of a sphere is doubled, then its volume is increased by ?
7
143 - If the radius of a sphere is increased by 2 cm, then its surface area increased by 352 cm². The radius of the sphere before the increase was :
6 cm
144 - If the radius of a sphere is increased by 3%, then what percent increase takes place in surface area of the sphere ?
0.0609
145 - If the radius of the base and the height of a right circular cone are doubled, then its volume becomes :
8 times
146 - If the radius of the sphere is doubled then it’s volume is increased by?
7
147 - If the ratio of the diameters of two spheres is 3: 5, then what is the ratio of their surface areas ?
0.39236111111
148 - If the ratio of volumes of two cones is 2 : 3 and the ratio of the radii of their bases is 1 : 2, then the ration of their heights will be ?
0.33541666667
149 - If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
0.16875
150 - If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?
0.37569444444
151 - If the surface area of a cube is 294 sq.cm ,then its volume is
343 cu.cm
152 - If the total surface area of a cube is 6 sq units, then what is the volume of the cube ?
1 cu unit
153 - If the volume and surface area of a sphere is numerically the same then it’s radius is_________?
3 units
154 - If the volume of a cube is 4096 cu.cm, then the Surface area and the length of the diagonal of the cube is
1536 sq.cm and 27.71 cm
155 - If the volume of a cube is 512 cu.cm, then the Surface area and the length of the diagonal of the cube is
264 sq.cm and 13.85 cm
156 - If the volume of a cube is 64 cu.cm, then the Surface area and the length of the diagonal of the cube is
96 sq.cm and 6.92 cm
157 - If the volume of a right circular cone of height 9 cm is 48π cm3, then find the diameter of its base. ?
8 cm
158 - If the volume of a sphere is divided by its surface area, the result is 27 cm. The radius of the sphere is
81 cm
159 - If the volume of two right circular cones are in the ratio 1 : 3 and their diameters are in the ratio 3 : 5, then the ratio of their heights is ?
1.0604166667
160 - If the volumes of two cones are in ratio 1 : 4 and their diameter are in the ratio 4 : 5, then the ratio of their heights is ?
0.21111111111
161 - If the volumes of two cubes are in the ratio 27 : 1 the ratio of their edges is :
0.12569444444
162 - If the volumes of two cubes are in the ratio 8: 1, the ratio of their edges is_________?
0.084027777778
163 - If three metallic spheres of radii 6 cms, 8 cms and 10 cms are melted to form a single sphere, the diameter of the new sphere will be :
24 cm
164 - In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
750 cubic meter
165 - In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be_________?
1000 cu.m
166 - Internal length, breadth and height of a rectangular box are 10 cm, 8 cm and 6 cm, respectively. How many boxes are needed which can be packed in a cube whose volume is 6240 cu. cm. ?
13
167 - Shantanu's cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 5 such caps. ?
2750 sq cm
168 - Spheres A and B have their radii 40 cm and 10 cm respectively. The ratio of the surface area of A to the surface area of B is :
0.66736111111
169 - Surface area of a sphere is 2464 cm^2. If its radius is doubled, then the surface area of _________?the new sphere will be
9856 cm^2
170 - Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?
0.047222222222
171 - The area of a base of a cone is 30 cm^2. If the height of the cone is 6cm, find its volume?
60 cm^3
172 - The area of the cardboard(in cm^2) needed to make a box of size 25 cm * 15 cm * 8 cm will be__________?
1390 cm^2
173 - The area of the floor of a room is 20 m^2 that of a longer wall 15 m^2 and of the shorter wall 12 m^2, find the edge of the new cube?
60 m^3
174 - The areas of the three adjacent faces of a rectangular box which meet in a point are known. The product of these areas is equal to :
the square of the volume of the box
175 - The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
0.047222222222
176 - The base radius and height of a cone are doubled. The ratio of the new volume to original volume is ?
0.33402777778
177 - The capacity of a cuboid tank of water is 50000 L. Find the breadth of the tank, if its length and depth are 2.5 m and 10 m, respectively.
2 m
178 - The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base
28 m
179 - The cost of painting the four walls of a room is Rs. 350. The cost of painting a room three times in length, breadth and height respectively will be ?
Rs. 3150
180 - The cost of painting the whole surface area of a cube at the rate of 13 paise per sq. cm is Rs. 343.98. Then the volume of the cube is :
9261 cm³
181 - The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side
Rs. 876
182 - The curved surface area of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. Find the ratio of its diameter to its height.
0.29375
183 - The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its diameter to its height.
0.29375
184 - The curved surface area of a cylindrical pillar is 264 sq m and its volume is 924 m3. The ratio of its diameter to its height is ?
0.29375
185 - The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height
0.29375
186 - The curved surface area of a right circular cone of radius 14 cm is 440 sq cm. what is the slant height of the cone ?
10 cm
187 - The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is :
136π cm²
188 - The curved surface of a sphere is 64 π cm^2. Find its radius?
4 cm
189 - The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be:
18 cm
190 - The diameter if base of a right circular cone is 7 cm and height is 10 cm , then what is its lateral surface area ?
110 sq cm
191 - The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?
45 π cc
192 - The diameter of a roller is 84 cm and its length 120 cm. Its takes 500 complete revolutions to move once over to level a playground (in sq m) ?
1584
193 - The diameter of the base of a right circular cylinder is 14 cm, while its length is 40 cm. Find the total surface area of the cylinder. ?
2068 sq cm
194 - The diameter of the iron ball used for the shot-put game is 14 cm. It is melted and then a solid cylinder of height 2⅓ cm is made. What will be the diameter of the base of the cylinder
28 cm
195 - The diameter of the Moon is approximately one-fourth of the diameter of the Earth. What is the ratio (approximate) of their volumes ?
0.086111111111
196 - The diameter of two cones are equal. If their slant height are in the ratio 15:11 . Then the ratio of their curved surface areas are
0.63263888889
197 - The diameters of two cones are equal. If their slant heights be in the ratio of 5 : 7, then find the ratio of their curved surface areas. ?
0.21319444444
198 - The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?
0.044444444444
199 - The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?
0.047222222222
200 - The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.
8.04kg
201 - The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm^3 of metal used in the box weighs 0.5 gms, the weight of the box is________?
6.832 kg
202 - The edge of a cube is 2a cm. Find its surface?
24a^2 cm^2
203 - The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
6 dm
204 - The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
120 cm^2
205 - The edges of a cuboid are in the ratio 1: 2 : 3 and its surface area is 88 cm². The volume of the cuboid is
48 cm³
206 - The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid.
13 cm
207 - The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
148 cm^2
208 - The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
12 cm
209 - The height of a closed cylinder of given volume and the minimum surface area is :
equal to its diameter
210 - The height of a wall is six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cu. m, its width is:
4 m
211 - The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is_________?
0.39722222222
212 - The length , breadth and height of a rectangular parallelopiped are in the ratio 6:3:1. If the surface area of a cube is equal to the surface area of this parallelopiped , then what is the ratio of th
0.12638888889
213 - The length of longer pole that can be placed on the floor of a room is 10 m and the length of the longest pole that can be placed in the room is 10√2m. The height of the room is ?
10 m
214 - The length of the longest rod that can fit in a cubical room of 4 m side is?
6.928 m
215 - The length of the wire of 0.2 mm radius that can be drawn after melting a solid copper sphere of diameter 18 cm, is ?
24300 m
216 - The length of the wire of 0.2mm radius that can be drawn after melting a solid copper sphere of diameter 18cm?
24300 m
217 - The length, breadth and height of a room are l, b and h, respectively. The perimeter of the ceiling expressed as a percentage of the total area of the four walls, is ?
100/h%
218 - The material of a cone is converted into the shape of a cylinder of equal radius . If the height of the cylinder is 5 cm. the height of the cone is ?
15 cm
219 - The number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is :
6080
220 - The number of coins of radius 0.75 cm and thickness 0.2 cm to be melted to make a right circular cylinder of height 8 cm and base radius 3 cm is :
640
221 - The number of solid spheres each of diameter 6 cm that could be moulded to form a solid metal cylinder 4 cm, is ?
5
222 - The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is?
5
223 - The paint in certain container is sufficient to paint an area equal to dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container ?
100
224 - The percentage increased in the surface area of a cube when each side is doubled, is ?
3
225 - The perimeter of one face a of cube is 20 cm. Its volume must be :
125 cm³
226 - The radii and height of two cylinders are in the ratio 3:2 and 4:5 respectively. Find the ratio of their volumes
0.37847222222
227 - The radii and height of two cylinders are in the ratio 4:5 and 3:2 respectively. Find the ratio of their volumes
1.0173611111
228 - The radii of two cones are equal. If their slant height are in the ratio 3:2. Then the ratio of their curved surface areas are
0.12638888889
229 - The radii of two cones are in the ratio 2 : 1, their volumes are equal. Find the ratio of their heights.
0.044444444444
230 - The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is 96π cm³, what is its slant height
10 cm
231 - The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is ?
4/3 times its radius
232 - The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________?
4/3 times its radius
233 - The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?
12 πr2 sq units
234 - The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
440 sq cm
235 - The radius of a wire is decreased to one –third if volume remains the same length will increase
9 times
236 - The radius of a wire is decreased to one-third. If volume remains the same, length will increase ?
2 times
237 - The radius of the base of a right circular cone is doubled. To keep the volume fixed, the height of the come will be ?
one-fourth of the previous height
238 - The radius of the base of a right circular cone is increased by 15% keeping the height fixed. The volume of the cone will be increased by. ?
0.3225
239 - The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?
12 π cm^3
240 - The radius of the cylinder is half its height and area of the inner part is 616 sq. cms. Approximately how many litres of milk can it contain
1.5
241 - The radius of two cylinders are in the ratio of 2 : 3 and their height are in the ratio 5 : 3 . The ratio of their volumes is ?
0.85208333333
242 - The ratio b/w the volume of a sphere and the volume of a circumscribing right cylinder is
0.085416666667
243 - The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
0.060416666667
244 - The ratio of the radii of two cylinders is 2 : 3 and the ratio of their heights is 5 : 3 . The ratio of their volumes will be ?
0.85208333333
245 - The ratio of the volume of a right cylinder and a right circular cone of the same base and height will be
0.12569444444
246 - The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is________?
6: π
247 - The sides of a cube are in the ratio 1:2 the ratio of their volume is__________?
0.047222222222
248 - The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
48 π cm^2
249 - The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km². The height of the mountain is :
2.4 km
250 - The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
60π m²
251 - The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?
2.5 cm
252 - The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5√5 cm, its surface area is ?
6
253 - The surface area of a cube is 384 sq.cm ,what will be the volume of a cube
512 cu.cm
254 - The surface area of a cube is 726m^2, its volume is?
1331 m^3
255 - The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is :
6 cm
256 - The surface of a cube is 24sq cm. Find its volume?
8 cc
257 - The volume of a cube is 1728 cc. Find its surface.
864 cm^2
258 - The volume of a right circular cone is 100π cm3 and its height is 12 cm. Find its slant height. ?
13 cm
259 - The volume of a sphere is 38808 cu. cm. The curved surface area of the sphere is ?
5544 sq. cm
260 - The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.
40cm
261 - The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is :
4/3π cm³
262 - The volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is :
89.8 cm³
263 - The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
0.39236111111
264 - The volumes of two cubes are in the ratio 8 : 27. The ratio of their surface areas is :
0.17291666667
265 - The whole surface area of a rectangular block is 8788 sq cm. If length, breadth and height are in ratio of 4 : 3 : 2, then find the length. ?
52 cm
266 - Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
18 cm
267 - Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find half of the surface area of the new cube. ?
243 sq cm
268 - Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed
486
269 - Total surface area of a cube whose side is 0.5 cm is :
3/2 cm²
270 - Two cubes have volumes in the ratio 1: 27, The ratio of their surface areas is ?
0.047916666667
271 - Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
360 cc
272 - Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank
12 min
273 - Two right circular cylinders of equal volumes have their heights in the ratio 1 : 2. The ratio of their radii is :
√2 : 1
274 - Water flows through a cylindrical pipe of internal diameter 7 cm at 2 m per second. If the pipe is always half full, then what is the volume of water (in litres) discharged in 10 minutes.
4620
275 - What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm ?
9, 8 and 10 cm
276 - What is the diameter of the largest circle lying on the surface of a sphere of surface area 616 sq cm ?
14 cm
277 - What is the height of a solid cylinder of radius 5 cm and total surface area is 660 sq cm ?
16 cm
278 - What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
13 cm
279 - What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?
344.35 cm^2
280 - What is the total surface area of a right circular cone of height 14 cm, and base radius 7cm.
498.35 cm²
281 - What will be radii of hemisphere if the ratio of the volumes of two hemisphere is 216 : 64?
0.25277777778
282 - What will be the curved surface area of a right circular cylinder having length 160 cm and radius of the base is 7 cm ?
7040 sq cm
283 - What will be the curved surface area of a right circular cylinder having length 160 cm and radius of the base is 7 cm ?
7040 sq cm
284 - What will be the difference between total surface area and curved surface area of a hemisphere having 2 cm diameter ?
π sq cm
285 - What will be the radius of the sphere, if the number of square cm on the surface of a sphere is equal to the number of cubic cm in its volume.
3cm
286 - X and Y are two cylinders of the same height. The base of X has diameter that is half the diameter of the base of Y. If the height of X is doubled, the volume of X becomes :
half the volume of Y
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