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A grain silo is to be built by attaching a hemispherical roof and a flat floor onto

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A grain silo is to be built by attaching a hemispherical roof and a flat floor onto a circular cylinder. Use Lagrange multipliers to show that for a total surface area S, the volume of the silo is maximized when the radius and height of the cylinder are equal.

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If r and h are the radius and the height of the silo respectively ...View the full answer


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