r = [tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex
given [\frac{4}{3}[/tex]πr³ = V ( multiply both sides by 3 to eliminate fraction )
4πr³ = 3V ( divide both sides by 4π )
r³ = [tex]\frac{3V}{4\pi }[/tex] ( take the cube root of both sides )
r = [tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]
