Question

The height of a cone is 15 cm. If its volume is $1570c{m}^2$ , Find the radius of the base (use $\pi =3.14)$

Answer 1

Let the radius of the base of cone be $rcm$

Given height of a cone is $h=15cm$

As we know that

Volume of a cone with radius $r$ and height $h$ is $\frac{1}{3}\pi r^{2}h$

Given volume of the cone is $1570c{m}^3$

$⟹\frac{1}{3}\pi \left(r^2\right)\left(15\right)=1570$

$⟹r^2=\frac{3\times 1570}{3.14\times 15}=100$

$⟹r=10cm$

Radius of the base is $10cm$