Surface area of a cup minimization problem

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James
James on 17 Apr 2014
Answered: Walter Roberson on 17 Apr 2014
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.

Answers (1)

Walter Roberson
Walter Roberson on 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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