Question

The radius of a sphere is multiplied by 7. What effect does this have on the volume of the sphere?

The volume of the sphere is multiplied by 373
B. The volume of the sphere is multiplied by a
C The volume of the sphere is multiplied by .
D. The volume of the sphere is multiplied by :
E. The effect on the volume of the sphere cannot be determined.

Answer 1

The new volume is 7^3 or 343 times the old volume

Explanation:

The original sphere has a volume of

V = 4/3 pi r^3

The radius is multiplied by 7

The new volume is

V = 4/3 pi (7r) ^3

V = 4/3 pi (7)^3 r^3

The new volume is 7^3 or 343 times the old volume