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C. 11 2. A glassblower wishes to blow a thin, cylindrical tumbler. The bottom of the tumbler is to be r three times as thick

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C. 11 2. A glassblower wishes to blow a thin, cylindrical tumbler. The bottom of the tumbler is to be r three times as thick as the sides. If the tumbler is to hold a volume V, what are the dimensions (radius and height) that will minimize the amount of glass it takes? (Think of the sides of the tumbler as a rectangle, and the bottom as three circles. Express the h "area" A of glass as a function of r, and find the value of r that minimizes A. Then find the corresponding value of h. Both r and h should be expressed in terms of V)

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