Answer:
[tex]r=\sqrt[3]{\frac{3v}{4} }[/tex]
Step-by-step explanation:
To solve for [tex]r[/tex]:
[tex]v=\frac{4}{3}r^{3}[/tex] (given)
[tex]\frac{3v}{4}=r^{3}[/tex] (times [tex]\frac{3}{4}[/tex] on both sides)
[tex]r=\sqrt[3]{\frac{3v}{4} }[/tex]
I hope this helps :)