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Math Help - application of differentiation question

  1. #1
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    application of differentiation question

    Hey

    I am having trouble with this question.

    Consider a cylindrical can which has some fixed volume V. If r is the radius of the circular cross-section and h is the height, show that the values of r and h which will minimise the surface area are related by h = 2r.

    Now I have Surface Area (SA) = 2\pi r^2 + 2 \pi rh

    Then i replace the h in that equation with h in terms of r.

    SA = 2\pi r^2 + 2 \pi r * V/ (\pi r^2)

    But then how do I get rid of the V?
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  2. #2
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    V is a constant...
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