A piece of wire 60 inches long is cut into six sections,
Chapter 4, Problem 72(choose chapter or problem)
A piece of wire 60 inches long is cut into six sections, two of length a and four of length b. Each of the two sections of length a is bent into the form of a circle and the circles are then joined by the four sections of length b to make a frame for a model of a right circular cylinder, as shown in the accompanying figure. (a) Find the values of a and b that will make the cylinder of maximum volume. (b) Use differential calculus to justify your answer in part (a).
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