we know that
The volume of the sphere is equal to
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
where
r is the radius of the sphere
Solve for r
[tex]V=\frac{4}{3} \pi r^{3}\\\\3V=4\pi r^{3}\\ \\r^{3}=\frac{3V}{4\pi}\\ \\r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
therefore
the answer is
[tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
