# What dimensions of the rectangle will result in a cylinder of maximum volume if you consider a rectangle of perimeter 12 inches in which it forms a cylinder by revolving this rectangle about one of its edges?

graph{(12x-x^2)/(4pi) [-0.89, 13.35, -1.027, 6.1]}

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The dimensions of the rectangle that will result in a cylinder of maximum volume are 3 inches by 3 inches.

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