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To minimize th Radius of the c Height of the c Minimum cost:

To minimize th Radius of the c Height of the c Minimum cost:

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 33E
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A cylinder shaped can needs to be constructed to hold 250 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 = Tr²h Area of the sides: A = 2πrh Area of the top/bottom: A = Пр2 To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents
Transcribed Image Text:A cylinder shaped can needs to be constructed to hold 250 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 = Tr²h Area of the sides: A = 2πrh Area of the top/bottom: A = Пр2 To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents
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