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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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