A polystyrene cup is in the shape of a frustum (the part of a cone between two parallel
Chapter 0, Problem 76(choose chapter or problem)
A polystyrene cup is in the shape of a frustum (the part of a cone between two parallel planes cutting the cone), has top radius 2r, base radius r and height h. The surface area S of such a cup is given by S = 3rr2 + h2 and its volume V by V = 7r2h/3. If the cup is to hold 200 ml, use a calculator or a computer to estimate the value of r that minimizes its surface area.
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