An wooden toy is made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. (CBSE 2013)

A solid is hemispherical at the bottom and conical (of same radius) above it. If the surface areas of the two parts are equal then the ratio of its radius and the slant the height of the conical part is (CBSE 2012)

The volume of a hemi-sphere is . Find its curved surface area. (CBSE 2012)

In Fig. 16.57, from a cuboidal solid metallic block, of dimensions 15 cm × 10 cm × 5 cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block.

(CBSE 2015)

Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?(CBSE 2017)