Respuesta :

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.