Question

The given sphere has a radius of 2 inches. a sphere with radius of 2 inches. what happens to the volume if the radius is doubled? the volume of the new sphere is times larger than the volume of the original sphere.

Answer 1

8 times

Explanation:

Answer 2

8 times larger than original

Explanation:

the volume (V) of a sphere is calculated as

V =
`(4)/(3)`πr³

when r = 2 , then

V =
`(4)/(3)`π × 2³ =
`(4)/(3)`π × 8

when r is doubled , that is r = 4 , then

V =
`(4)/(3)`π × 4³ =
`(4)/(3)`π × 64

64 is 8 times larger than 8

then new sphere is 8 times larger than original sphere