A sphere of maximum volume is cut out from a solid hemisphere of radius r.What is the ratio of the volume of the hemisphere to that of cut out sphere?

What is the volume of a solid sphere of radius 2R?

A sphere and a cube have equal surface areas.What is the ratio of the volume of the sphere to that of that cube?

The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is

What is the ratio of the volume of a cube to that of a sphere which will fit inside it?

If the radius of one sphere is double the radius of another sphere,then find the ratio of the volumes of the spheres.

The ratio of the volumes of two sphere is 27: 8 . What is the ratio of their surface areas?

The radius of a solid sphere is measured to be 11.24 cm. What is the surface area of the sphere to appropriate significant figures?

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid is in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and the height of the cone outside the hemisphere is 5 cm, find the volume of water left on the tub. (Use pi = 22/7 )

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and height of the cone outside the hemisphere is 5 cm, find the volume of water left in the tub.