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A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.05 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 = Tp²h Area of the sides: A = 2rrh Area of the top/bottom: A = r2 To minimize the cost of the can: Radius of the can: Preview Height of the can: Preview Minimum cost: Preview cents

A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.05 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 = Tp²h Area of the sides: A = 2rrh Area of the top/bottom: A = r2 To minimize the cost of the can: Radius of the can: Preview Height of the can: Preview Minimum cost: Preview cents

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.05 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 = Tp²h Area of the sides: A = 2rrh Area of the top/bottom: A = r2 To minimize the cost of the can: Radius of the can: Preview Height of the can: Preview Minimum cost: Preview cents
Transcribed Image Text:A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.05 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 = Tp²h Area of the sides: A = 2rrh Area of the top/bottom: A = r2 To minimize the cost of the can: Radius of the can: Preview Height of the can: Preview Minimum cost: Preview cents
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