ISSUES IN SOLUTION

Problem 1 asks students to optimize the volume of a cone manufactured from cutting a sector from a fixed circle of radius

r = 4 cm and welding the cut lines together to form a cone.


Problem 2 asks the students to use the results/formulae of problem 1 to determine the optimal cone which can be cut from this same 4 cm radius circle if the base of the cone is also prescribed. The latter is prescribed by requiring the cone to sit atop a cylinder of known height and known volume and hence attainable radius.

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