Question

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 3.5 cm and the heights of the cylindrical and conical portions are 10 cm. and 6 cm, respectively. Find the total surface area of the solid. (Use π = 22/7)

Answer 1

We have the following diagram

For cone, we have

Curved surface area of the cone is given as

For cylindrical part, we have

Curved surface area of the cylinder is

The surface area of the hemisphere is

Total surface area of the solid is given by

Hence the total surface area of the solid is