A hemisphere 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.

The sum of the surfaces of a sphere and a cube is given. Show that when the sum of their volumes is least, the diameter of the sphere is equal to the edge of the cube.

A cubical block of side 7 cm is surmounted by a hemi-sphere. What is the greatest diameter the hemi-sphere can have? Find the surface area of the solid.

A toy is in the form of a cone mounted on a hemisphere. The diameter of the base and the height of the cone are 6 cm and 4 cm respectively. Determine the surface area of the toy. [Use pi=3.14 ]

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is 10 cm and its base radius is 3.5 cm, find the total surface area of the article.

Two cubes each of edge 6 cm are joined face to face. Find the surface area of the cuboid thus formed.

Take a cube of edge ‘l' cm. and cut it as we did in the previous activity and find total surface area and lateral surface area of cube.

A solid is in the form of a right circular cylinder with a hemisphere at one end and a cone at the other end. The radius of the common base is 8 cm and the heights of the cylinderical and conical portions are 10 cm and 6 cm respectively. Find the total surface area of the solid. " " [Use pi=3.14 ]