SOLUTION: The radius of cylinder A is twice the radius of cylinder B, and the height of cylinder B is twice the height of cylinder A. What is the ratio of the volume of cylinder A to the vol

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Question 307305: The radius of cylinder A is twice the radius of cylinder B, and the height of cylinder B is twice the height of cylinder A. What is the ratio of the volume of cylinder A to the volume of cylinder B ?

Answer by Earlsdon(6294) About Me  (Show Source):
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Start by caculating the two volumes:
V%5BB%5D+=+pi%2Ar%5E2%2Ah This is the volume of cyclinder B.
V%5BA%5D+=+pi%2A%282r%29%5E2%2A%282h%29 This is the volume of cylinder A. Simplify and form the ratio V%5BA%5D%2FV%5BB%5D
%28pi%2A%282r%29%5E2%2A%282h%29%29%2F%28pi%2Ar%5E2%2Ah%29
%28pi%2A4r%5E2%2A2h%29%2F%28pi%2Ar%5E2%2Ah%29
%288%2Api%2Ar%5E2%2Ah%29%2F%28pi%2Ar%5E2%2Ah%29 Cancel the common factors.
V%5BA%5D%2FV%5BB%5D+=+8