Question

A cylinder has a radius of 2.5 meters. It’s volume is 37.5 pi cubic meters. 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=2.5\\ V=37.5\pi \end{cases}\implies 37.5\pi =\pi (2.5)^2 h \\\\\\ \cfrac{37.5\pi }{2.5^2 \pi }=h\implies \cfrac{37.5}{6.25}=h\implies 6=h`