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$Old$ 11-20-2008, 11:49 AM

espen180 $espen180 is offline$

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$Default$ Tin drum: Maximize volume

Say we have a square tin sheet with side lenght $a$ . We want to cut out a circle and a rectangle in order to construct an oil drum. What is the largest volume the finished oil drum can have with this setup? (Remember: The rectangle and the circle to be cut out of the tin sheet may not overlap.)

I got $V_{MAX}=\frac{\pi}{27}a^3$

Can someone please check if this is correct?

Thanks for any help.

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