If you doubled the radius of a sphere, how would the volume change? A. The volume would double. B. The volume would triple. C. The volume would quadruple. D. The volume would increase to be eight times that of the original volume.
The volume of a sphere, V = (4/3)(PI)(R^3)
Let k = (4/3)(PI)
Therefore, V = k (R^3)
Let R’ = new radius = 2R
V’ =k (R’^3)
= k (2R)^3
= 8 k R^3
= 8 V
The volume would be eight time the original volume.
