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    Volume maximization explained with an example

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    Find the dimensions of a cylinder with a surface area of 300 cm^2 with a maximum volume.

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    https://brainmass.com/math/calculus-and-analysis/volume-maximization-explained-with-an-example-6809

    Solution Preview

    The surface area of the cylinder is,

    300 = 2(pi r^2) + (2pi rh)......(1)

    and the cylinder is, V = (pi) r^2 h .....(2)

    where h is the height of the cylinder and r its radius.

    To find the maximum volume we ...

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