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A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides ofthe can costs 0.02 cents
A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides ofthe can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.08 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h : height of can, r: radius of can Volume ofa cylinder: V = wrzh Area of the sides: A = 21r'rh Area of the top/bottom: A : 1'2 To minimize the cost of the can: Height ofthe can: Minimum cost: cents
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