Question

When the radius of a sphere is doubled, what is the resulting change in volume? A) The original volume is doubled. B) The original volume is multiplied by 4. C) The original volume is multiplied by 8. D) The original volume is multiplied by 10.

Answer 1

C

Explanation:

The volume (V) of a sphere is calculated using the formula

V =
`(4)/(3)`πr³

If the radius is doubled, that is r = 2r , then

V =
`(4)/(3)`π (2r )³

(2r)³ = 8r³, thus the volume is multiplied by 8