Question

A rocket is in the form of a circular cylinder closed at the lower end with a cone of the same radius attached to the top. The cylinder is of radius 2.5 m and height 21 m and the cone has the slant height 8 m. Calculate the total surface area and the volume of the rocket.

Answer 1

Given:

Radius of the cylinder, height of the cylinder, , slant height of the cone.We have to find total surface area and volume of the rocket

Let us assume that the area of the cone is.

The area of the cylinder is given by

Total areais

Now, we are going to find the volume of the rocket V.

Volume of the cone is given by

Volume of the cylinder is

Total volume of the cone is given by

Hence, the area and the volume of the rocket is