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Math Help - Cylinder Can optimization?

  1. #1
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    Cylinder Can optimization?

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    Last edited by aquaglass88; February 7th 2008 at 06:59 AM. Reason: delete
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  2. #2
    Junior Member qspeechc's Avatar
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    V= pi(r^2)h and NOT 2pi(r^2)h as you have it.

    The material for the top & bottom is: 2*(pi*r^2)
    The material for the sides is: 2pi*r*h

    Cost for top & bottom: 15*2(pi*r^2)
    Cost for sides: 10*2pi*r*h

    V = 20 cm cubed = 0.00002 metres cubed = pi*r^2*h
    So: h = 0.00002/(pi*r^2)

    Total cost = pi*r*(30r + 20h) = pi*r*(30r + 20*(0.00002/(pi*r^2)))

    I assume you can take it from there.
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  3. #3
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    Quote Originally Posted by aquaglass88 View Post
    Ohhh ok, I get it but since this is optimization, aren't you supposed to find the derivative of the function?
    [snip]
    Well, that's what

    Quote Originally Posted by qspeechc View Post
    [snip]
    I assume you can take it from there.
    means ......
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