SOLUTION: Which will increase the volume of a circular cylinder more: doubling its height or doubling its radius? Please Explain

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Question 633880: Which will increase the volume of a circular cylinder more: doubling its height or doubling its radius? Please Explain
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Doubling the radius increases the volume more.

Doubling the height (h), while keeping the same base with area A, will double the volume:
V=A*h

Doubling the radius (r), will quadruple the area (A=pi%2Ar%5E2) of the base.
If the radius changes to 2r, the area quadruples to A=pi%2A%282r%29%5E2=pi%2A2%5E2%2Ar%5E2=4pi%2Ar%5E2
Doubling the radius (with the same height) will quadruple the area of the base, quadrupling the volume of the cylinder.