Question

a stainless steel garbage can is in the shape of a right circular cylinder. If its radius is 6 inches and its volume is 864 pi cubed, what is the height of the can

Answer 1

V=hpir^2
v/(pir^2)=h
r=6
v=864pi


864pi/(pi6^2)=h
864/36=h
24=h
height=24in or about 2ft

Answer 2

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