Question

The height of a cone is $15cm$. If its volume is $1570c{m}^3$, find the radius of its base.
$[Use\pi =3.14]$

Answer 1

Height ($h$) of the cone = $15cm$
Let the radius of the cone be $r$.
Volume of the cone $=1570c{m}^3$
$\Rightarrow \frac{1}{3}\pi r^{2}h=1570c{m}^3\Rightarrow (\frac{1}{3}\times 3.14\times r^2\times 15)c{m}^3=1570c{m}^3\Rightarrow r^2=100c{m}^2\Rightarrow r=10cm$

Therefore, the radius of the base of cone is $10cm$.