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A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup...

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Calculus

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A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup The material for the sides of the can costs 0 04 cents per square centimeter The material for the top and bottom of the can need to be thicker and costs 0 06 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 of a cylinder V h Area of the sides A 2 rh Area of the top bottom A To minimize the cost of the can Radius of the can Height of the can Minimum cost cents

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