Question

Given sphere Z has a volume of 64 times that of sphere B, then sphere Z's radius is how many times larger than that of sphere B's radius?

Answer 1

4

Explanation:

If the radius of sphere Z is R, and the radius of sphere B is r, then:

Vz = 4/3 π R³

Vb = 4/3 π r³

The volume of sphere Z is 64 times the volume of sphere B, so:

Vz = 64 Vb

4/3 π R³ = 64 (4/3 π r³)

R³ = 64r³

R = 4r

The radius of sphere Z is 4 times the radius of sphere B.