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