Rewrite the following equation to solve for r in terms on v. (ie. isolate r)

Question

V=4πr^3/3

Answer 1

Volume = 4/3 times pi times radius cubed

V = (4/3)pi(r^3) divide both sides by (4/3)pi

r^3 = V/(4/3)pi = 3V/4pi take the cube root of both sides

r = the cube root of 3V/4pi

r = (3V/4pi)^1/3 cube root is the same as an exponent of 1/3