A cylindrical can with volume 40π cm³ is to be constructed. The material to be used for the sides of the can costs $6.25 per square centimeter, while the material to be used for the top and bottom of the can costs $1.00 per square centimeter. Determine the dimensions that will minimize the cost of the required material to construct the can.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...
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A cylindrical can with volume 40π cm³ is to be constructed. The material to be used for the sides of the can costs $6.25 per square centimeter, while the material to be used for the top and bottom of the can costs $1.00 per square centimeter. Determine the dimensions that will minimize the cost of the required material to construct the can.

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