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Math Help - Maximizing volume of a cylinder inscribed in a right circular cone (no numbers given)

  1. #1
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    (SOLVED) Maximizing volume of a cylinder inscribed in a right circular cone

    The question:
    Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a right circular cone of radius R and height H.

    I called the radius of cylinder r and the height of the cylinder h. All I've really been able to do is make the relationship that

    (H-h)/r = H/R

    Apart from that, I am 100% lost. If this had even one number I think I could solve this. Any answers, suggestions, or hints?
    Last edited by evankiefl; February 7th 2011 at 02:52 PM.
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    Hint: Draw a picture then find a relationship between the variables using similar triangles.
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