Question

the formula to find the volume of a sphere is v=4/3 pie r ^3 where r is the radius of the sphere . what is the formula in terms of r

Answer 1

r = $\sqrt[3]{\frac{3V}{4\pi } }[/texgiven [\frac{4}{3}$πr³ = V ( multiply both sides by 3 to eliminate fraction )

4πr³ = 3V ( divide both sides by 4π )

r³ = $\frac{3V}{4\pi }$ ( take the cube root of both sides )

r = $\sqrt[3]{\frac{3V}{4\pi } }$