The volume of a sphere is \(V = 4 * \pi * r^{2}\)
Substitute the volume in:
\(100 \pi = 4 \pi r^{2}\)
\(r^{2}\)
\(r = 5\)
Take the radius that we just calculated and use the volume formula as follows:
\(V = \frac{4}{3} \pi r^{3}\)
\(V = \frac{4}{3} \pi * ( 5^{3} )\)
\(V = \frac{4}{3} \pi (125)\)
\(V = \frac{500}{3} \pi = 166 \frac{2}{3} \pi ft^{3}\)
