The radius needed to create a sphere with a given volume V can be approximated by the equation

Question

r = 0.6(V)^1/3. Find the radius of a sphere with a volume of 729 cubic meters. Round the answer to the nearest hundredth.

Answer 1

V = (4/3) pi r^3
= 4.189 r^3
so
r = V^(1/3)/(4.189)^(1/3)
r = .620 V^(1/3) I thought they were off a bit.
Ok, using r = .6 V^(1/3)
r = .6 *729^(1/3)
r = .6 * 9
r = 5.40 meters