Answer:
[tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Step-by-step explanation:
[tex]v= \frac{4}{3} \pi r^3[/tex]
We need to isolate 'r'
To isolate 'r' , first multiply by 3 on both sides
[tex]3v=4* \pi r^3[/tex]
divide by 4pi on both sides
[tex]\frac{3V}{4\pi} = r^3[/tex]
Take cube root on both sides
[tex]\sqrt[3]{\frac{3V}{4\pi}}= r[/tex]
