Question

if the volume of a cone is 108 pi cubic units and the radius is 6 units what is the height of the cylinder

Answer 1

$\begin{matrix} V=\pi r^2\left(\frac{h}{3}\right)\\\\ 108=\pi \left(6\right)^2\left(\frac{h}{3}\right)\\\\ \pi \left(6\right)^2\left(\frac{h}{3}\right)=108\\\\ \pi \left(36\right)\left(\frac{h}{3}\right)=108\\\\ 12\pi h=108\\\\ \frac{12\pi h}{12\pi }=\frac{108}{12\pi }\\\\ h=\frac{9}{\pi }\\\\ \mathbf{h\approx 2.86\:units} \end{matrix}$