Question

The volume of a sphere can be found using the formula V equals four-thirds pi r cubed, where V is the volume and r is the radius.



Which statement explains the change in the volume when the radius is doubled?

Answer options with 4 options
A.
The new volume is 2 times the original volume.

B.
The new volume is 4 times the original volume.

C.
The new volume is 6 times the original volume.

D.
The new volume is 8 times the original volume.

Answer 1

D. Doubling the radius multiplies the volume by 2^3 = 8, since V = (4/3)πr^3 so V(new) = (4/3)π(2r)^3 = 8(4/3)πr^3 = 8V.