SOLUTION: If the radius of a cylindrical container is doubled, how do you change the height of the container so that the volume will stay the same?

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Question 551346: If the radius of a cylindrical container is doubled, how do you change the height of the container so that the volume will stay the same?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If the radius of a cylindrical container is doubled, how do you change the height of the container so that the volume will stay the same?
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Vol+=+pi%2Ar%5E2%2Ah
volume is a function of the square of the radius, 2*r --> 4*volume
Volume is a function of height, so the height is divided by 4.
Vol+=+pi%2Ar%5E2%2Ah+=+pi%2A%282r%29%5E2%2A%28h%2F4%29