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Mathematics - Calculus - Minimization

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An open-topped cylindrical pot is to have volume 125in^3. What dimensions will minimize the total amount of material used in making this pot? Neglect the thickness of the material and possible wastage.

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Solution Summary

The expert uses calculus to calculate the minimization of the total amount of materials used in making a pot. A complete, neat and step-by-step solution is provided in the attached file.

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Total surface area of the material required = A =  r^2 + 2 rh. This is to be minimized.  dA/dr = 0  2 r + 2  ...

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