Question

The volume of a cylinder with a base radius of 15 centimeters is 5,400π

cubic centimeters. What is the height of the cylinder?

Answer 1

`\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=15\\ V=5400\pi \end{cases}\implies 5400\pi =\pi (15)^2 h \\\\\\ \cfrac{5400\pi }{\pi 15^2}=h\implies 24=h`