SOLUTION: If I took a plain sheet of paper (8 1/2 x 11") and folded it to make a cylinder length wise and then width wise, which cylinder would have the most volume.

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Question 747351: If I took a plain sheet of paper (8 1/2 x 11") and folded it to make a cylinder length wise and then width wise, which cylinder would have the most volume.
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If I took a plain sheet of paper (8 1/2 x 11") and folded it to make a cylinder length wise and then width wise, which cylinder would have the most volume.
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Vol of the taller cylinder = pi*4.25^2*11
Vol of the shorter DISABLED_event_one= pi*5.5^2*8.5
Compare them.

Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Lengthwise: 2*pi*r=8&1/2
r=(8&1/2)/(2*pi)
volume=pi*r^2*11
volume=pi*((8&1/2)/(2*pi))^2*11
volume=%28%288%261%2F2%29%5E2%2F%284%2Api%29%29%2A11
highlight%28794.75%2F%284%2Api%29%29 which is smaller than widthwise way.

Widthwise: 2*pi*r=11
r=11/(2*pi)
volume=pi*r^2*(8&1/2)
volume=pi*(11/(2*pi))^2(8&1/2)
volume=%2811%5E2%2F%284%2Api%29%29%288%261%2F2%29
highlight%281028.5%2F%284%2Api%29%29, which is bigger than the lengthwise way.