A cylinder shaped can needs to be constructed to hold 500 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 0.07 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 = Tr²h Area of the sides: A = 2πrh Area of the top/bottom: A = πr² To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents

A cylinder shaped can needs to be constructed to hold 500 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 0.07 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 = Tr²h Area of the sides: A = 2πrh Area of the top/bottom: A = πr² To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.CR: Review Exercises

Problem 9CR: Tom Morrow wants to buy some fertilizer for his yard. The lot size is 140 ft by 160 ft. The outside...

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