Question

The volume of this cylinder is 2,034.72 cubic inches. What is the radius?

Answer 1

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=2034.72\\ h=18 \end{cases}\implies 2034.72=\pi r^2(18) \implies \cfrac{2034.72}{18\pi }=r^2 \\\\\\ \cfrac{2034.72}{18(3.14) }=r^2\implies \sqrt{\cfrac{2034.72}{18(3.14) }}=r\implies 6=r$