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Volume & Surface Areas

Important Instructions
51.

Sam has a solid metal ball with diameter 6cm. He melts it and uses the material for making a solid cylinder. If the diameter of the cylinder is same as the ball, what would its height be?

Answer: A

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52.

What is the total surface area of a hemisphere of radius r?

Answer: D

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53.

A rectangular block 6 cm × 12 cm × 15 cm is cut into exact number of equal cubes. The least possible number of cubes will be

Answer: D

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54.

A cylinder and a cone are of same base radius and of same height. The ratio of the volume of the cylinder to that of the cone is

Answer: B

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55.

If internal dimensions of wooden box are as 80cm long, 48cm wide, 20cm deep and box is 4cm thick then volume of wood that is to be used in constructing box is

Answer: B

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56.

In a swimming pool measuring 90 m × 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m3, then rise in water level is

Answer: D

Volume of water displaced
= 150 × 8 = 1200 m3
⇒ 90 × 40 × h = 1200
⇒ h = 1200/90×40 m = 33.33 cm

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57.

A sphere with surface area (792/7) sq.m. has a volume ____

Answer: C

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58.

If volume of sphere is 850m⊃3; then its radius and surface area are

Answer: D

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59.

If there are 150 wood cylinders to be carved and each cylinder is 12cm long and has diameter of 45mm then total surface area for carving is

Answer: C

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60.

If the areas of the three adjacent faces of a cuboidal box are 120cm2, 72cm2 and 60cm2 respectively, find the volume of the box.

Answer: B

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