Answer:
[tex] r = \sqrt[3]{\dfrac{3V}{4 \pi}} [/tex]
Step-by-step explanation:
[tex] V = \dfrac{4}{3}\pi r^3 [/tex]
[tex] \dfrac{4}{3}\pi r^3 = V [/tex]
[tex] \pi r^3 = \dfrac{3V}{4} [/tex]
[tex] r^3 = \dfrac{3V}{4 \pi} [/tex]
[tex] r = \sqrt[3]{\dfrac{3V}{4 \pi}} [/tex]