First use known volume to solve for radius: [tex]V=\frac{4}{3}\pi r^{3}[/tex] [tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex] [tex]r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}[/tex] [tex]r=\sqrt[3]{27}[/tex] [tex]r=3[/tex]
Then use the radius to get the surface area: [tex]A_{surf}=4 \pi r^{2}[/tex] [tex]A_{surf}=4 \pi 3^{2}[/tex] [tex]A_{surf}=4 \pi 9[/tex] [tex]A_{surf}=36\pi\approx113.09[/tex]
