Answer: [tex]r=\sqrt[3]{\dfrac{3V}{4\pi}}[/tex]
Step-by-step explanation:
Given
The volume of a sphere is given by
[tex]V(r)=\dfrac{4}{3}\pi r^3[/tex]
Now isolating [tex]r^3[/tex]
Divide both sides by [tex]\dfrac{4}{3}\pi[/tex]
[tex]\Rightarrow \dfrac{V(r)}{\frac{4}{3}\pi }=r^3\\\\\Rightarrow r^3=\dfrac{3V}{4\pi}\\\\\Rightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}[/tex]
