Question

The lateral surface area of a cylinder of length $14m$ is $220m^2$. Find the volume of the cylinder.

Answer 1

Lateral surface area of a cylinder of radius r and height h is $=2\pi rh=220$

Given, length $=$ height$=14m$

$\Rightarrow 2\pi r\left(14\right)=220$

$\Rightarrow 2\times \frac{22}{7}\times r\times 14=220$

$\Rightarrow r=\frac{10}{4}=\frac{5}{2}m$.

and its volume $=\pi r^{2}h=\frac{22}{7}\times \frac{25}{4}\times 14=275m^3$.