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Volume of 3d figures || Quantitative Aptitude || CAT 2021 || 02 June

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Question 1

The radii of the base of a cylinder and a cone are in the ratio 3:4. If their heights are in the ratio 2:3, then the ratio of their volumes is:

Question 2

The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is:

Question 3

The edges of a cuboid are in the ratio 1 : 2 : 3 and its total surface area is 88 square cm. The volume of the cuboid is

Question 4

If the side of a cube is decreased by 50%, then find the percentage change in its volume?

Question 5

The curved surface area of a right cylinder is 3696 cm2. Its height is three times its radius. What is the capacity (in litres) of the cylinder? (Take π = )

Question 6

The ratio of the volume of two cylinders is 7 : 3 and the ratio of their heights is 7 : 9. If the area of the base of the second cylinder is 154 cm2, then what will be the radius (in cm) of the first cylinder?

Question 7

If the surface area of two hemisphere is in the ratio 9 : 1, then what is the ratio of their volumes?

Question 8

A metallic sphere of radius 25 cm is melted into small spheres of diameter 1 cm. How many such small spheres can be made from the large sphere?

Question 9

The base of right pyramid is an equilateral triangle with side 8 cm and its height is 30√3 cm. The volume (in cm3)

Question 10

A solid hemisphere of a radius of 12 cm is melted to form a cylinder. If the curved surface area of the cylinder is 288π, then what is the height of the cylinder ()?
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