What happens to the volume of a sphere when its diameter is doubled?

To determine the effect of changing the diameter of a sphere to its volume, we would need to know the formula for the volume of a sphere which is V = 4πr³/3 where r is half of the diameter. As you can see, there is a direct relationship.

r1 = d1/2

r2 = d2/2 = 2d1/2 = d1

V2/V1 = (4πd1³/3) / (4π (d1/2) ³/3)

V2/V1 = 8

Therefore, the volume of the sphere would be 8 times the original volume.