Question

A stainless steel garbage can is in the shape of a right circular cylinder if its radius is 6 inches and it's volume is 864 pi inches cubed what is the height of the can?

Answer 1

$\bf \textit{volume of a cylinder}=V=\pi r^2h\qquad \begin{cases} r=radius\\ h=height\\ -----------\\ r=6\ in\\ V=864\pi \ in^3 \end{cases} \\\\\\ V=\pi r^2h\implies 864\pi =\pi (6)^2h\impliedby \textit{solve for "h"}$