Extremum, Increase and Decrease sections – Min/Max problems (minimal surface area) – Exercise 6889


Build an open cylindrical can that measures 500 cc. In what dimensions (radius and height) will a minimum amount of material be needed to produce the can? Assume that the radius length and height are in integers.

Final Answer

R=\frac{10}{\sqrt[3]{2\pi}}, H=\frac{5\sqrt[3]{4}}{\sqrt[3]{\pi}}


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