Volume And Surface Area Mock Tests

A solid hemisphere of radius 6 cm is melted to form solid spheres of radius 3 cm each. The number of spheres formed is:

A solid sphere of radius 6 cm is melted and recast into small solid cones each of radius 2 cm and height 2 cm. How many cones are formed?

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

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?

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 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)

The volume of a right circular cone with radius 7 cm and height 24 cm is (use π = 22/7):

A cone of height 24 cm and base diameter 14 cm is melted and recast into a sphere. What is the radius of the sphere?