Can radius = 3.22 cm, Can height = 10.745 cm
Minimum Cost = 9.78 cents
Seth C.
asked • 04/23/19Cylinder dimension, Calculus.
A cylinder shaped can needs to be constructed to hold 350 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. Round all answers to two decimal places.
Helpful information: let h represent height of the can, let r represent radius of the can.Volume of a cylinder: V=πr2hArea of the sides: A=2πrhArea of the top/bottom: A=πr2To minimize the cost the can should have the following dimensions:
Radius of can:.......
Height of can:.......
Minimum cost:........
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