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Math Help - Optimization of cylinder

  1. #1
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    Optimization of cylinder

    A cylinder has volume of 10m^3. What are the dimensions that will give the maximum & minimum surface areas. (if there is no max or min state why)

    I think I need to make a function for surface area, use max & min of the deriv perhaps?

    not sure how to turn this into deminsions

    EDIT:
    So for a first step I solved volume equation for H and then do I put that back into my surface area equation?
    Last edited by mattc; May 6th 2009 at 06:29 AM.
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  2. #2
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    I ended up with a radius= 1.16 and h=2.33 does this sound reasonable?

    I did S'(r)=0 for r and then used that to solve for my h.
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  3. #3
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    Quote Originally Posted by mattc View Post
    I ended up with a radius= 1.16 and h=2.33 does this sound reasonable?

    I did S'(r)=0 for r and then used that to solve for my h.
    for min surface area, h = 2r

    no max
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  4. #4
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    oh good.

    I also came to the conclusion that there is no max because S'' is always positive/concave up so in critical value is a min. ...I think? yeah? lol
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