Question

The volume of a cylinder is 448 pi cm³ and the height is 7 cm.Find its radius.

Answer 1

The formula for the volume of a cylinder is given by:

`V=\pi r^2h`

Where r is the base radius and h is the height.

If the volume is 448*pi cm³ and the height is 7 cm, we have:

`\begin{gathered} 448\pi=\pi r^2\cdot7\\ \\ 448=7r^2\\ \\ r^2=(448)/(7)\\ \\ r^2=64\\ \\ r=8\text{ cm} \end{gathered}`

Therefore the radius is equal to 8 cm.

Drawing this cylinder, we have: