Answer:
[tex]r = \frac{3}{4\pi}V[/tex]
Step-by-step explanation:
First, the formula for the volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
[tex]\frac{3}{4}V = \pi r^3[/tex]
[tex]\frac{3}{4}V\frac{1}{\pi} = r^3[/tex]
[tex]r^3 = \frac{3}{4\pi}V[/tex]
[tex]r = \sqrt[\leftroot{-2}\uproot{2}3]{\frac{3}{4\pi}V}[/tex]
If there is any steps you are unsure of, feel free to ask in the comments.