Question

If the volume of a right circular cone of height $9cm$ is $48\pi c{m}^2$. find the diameter of its base.

Answer 1

$\begin{array}{c}Volume=48\pi \\ h=9\\ \frac{\pi r^{2}h}{3}=48\pi \\ r^2\times 9=48\times 3\\ r^2=\frac{48\times 3}{9}=16\\ radius=4cm\\ diameter=8cm\end{array}$