Surface area of a cup minimization problem
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How would you code this problem in MATLAB?
A paper cup(with a lid) shaped as a frustum of a cone with R2=1.3R1 is designed to have a volume of 240 cm^3. Determine R1 and height, h, of the cup such that the least amount of paper will be used for making the cup.
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Walter Roberson
am 17 Apr. 2014
First you would find the formula. Then you would either use a minimization routine such as fmincon() or you would use the standard calculus technique of differentiating, finding all zeros, re-differentiating, determine what kind of transition point each of the extrema are.
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