Question

A right angled triangle $ABC$ with sides $5cm,12cm$ and $13cm$ is revolved about the side $12cm$. Find the volume of the solid so obtained.

Answer 1

A right-angled triangle $ABC$ is rotated about its $12cm$ side $\left(AB\right)$ will generate a cone with

Radius$\left(BC\right)r=5cm$

Height$\left(AB\right)h=12cm$

Volume $=\pi \times 5^2\times \frac{12}{3}$

$=\pi \times 25\times 4$

$=314c{m}^3$