Question

A cone shaped vase has a radius of 12 cm and a height of 45 cm. What is the exact value of the volume of the cone?

Answer 1

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=12\\ h=45 \end{cases}\implies V=\cfrac{\pi (12)^2(45)}{3}\implies V=2160\pi$