Volume And Surface Area Mock Tests

A cone and a sphere have the same radius r. If their volumes are equal, what is the height of the cone?

A bucket is in the shape of a frustum of a cone with upper radius 10 cm, lower radius 5 cm, and height 9 cm. The volume of the bucket is: (use π = 22/7)

A right triangle with sides 6 cm and 8 cm is rotated about the side 6 cm. What is the volume of the solid formed?

A bucket is in the shape of a frustum of a cone. The radii of the two circular ends are 14 cm and 7 cm, and the height is 16 cm. Find the capacity of the bucket.

The ratio of the volumes of a cylinder and a cone of the same radius and same height is:

A sphere, a hemisphere, and a right circular cylinder all have the same radius r. If their volumes are equal, what is the height of the cylinder?

A cylindrical roller 1 m in diameter and 2.1 m long rolls on a field to flatten an area of 66 m². How many revolutions does it make?

A cylindrical bucket of radius 14 cm and height 20 cm is full of water. The water is poured into a rectangular tank of length 22 cm and breadth 14 cm. What is the height of the water level in the tank?