Question

A rectangle has sides of 4 and 6 units. Which expression could you use to find the volume (in

cubic units) of the three-dimensional object formed by continuously rotating the rectangle about
the shorter side?

Answer 1

144π

Explanation:

If the rectangle below is continuously rotated about side, the solid figure formed is a cylinder.

A rectangle with sides of 4 and 6 unit continuously rotated about the shorter side gives a cylinder with a radius (r) of 6 units and a height (h) of 4 units. The volume of a cylinder is given by:

Volume = πr²h

Volume = π × 6² × 4 = 144π

The volume of the cylinder formed is 144π