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Math Help - Cylinder optimization

  1. #1
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    Cylinder optimization

    I need to find dimensions of a cylinder that uses the least cost. The volume of the cylinder is 265 cm³. I just can't figure this out without ending up with weird solutions.
    The cost of top of the cylinder is 0.10 cents/cm²., bottom is 0.06 cents/cm², and sides cost 0.03 cents/cm².
    What I've figured out so far is Cost = 0.10πr² + 0.06πr² + 0.03(2πrh).
    Any help is appreciated.
    Last edited by MathStruck; December 16th 2012 at 12:46 PM.
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  2. #2
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    Re: Cylinder optimization

    265 = \pi r^2 h

    solve for h and sub into your cost function ...
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  3. #3
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    Re: Cylinder optimization

    I'll try that, thank you!
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