Answer:
r = [tex]\sqrt[3]{\frac{3v}{4\pi } }[/tex]
Step-by-step explanation:
Given
v = [tex]\frac{4}{3}[/tex] πr³ ( multiply both sides by 3 to clear the fraction )
3v = 4πr³ ( isolate r³ by dividing both sides by 4π )
[tex]\frac{3v}{4\pi }[/tex] = r³ ( take the cube root of both sides )
[tex]\sqrt[3]{\frac{3v}{4\pi } }[/tex] = r
