Respuesta :

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 :)