8. (10 points) An open top storage container is to be made in the form of a right circular cylinder and have a volume of 28™ m³. Material for the side costs $3 per square meter and material for the base costs $6 per square meter. What dimensions will minimize the total cost of the container?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 67E: Sheet metal fabrication A 24-inch-wide sheet of metal is to be bent into a rectangular trough with...
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(10 points) An open top storage container is to be made in the form of a right circular cylinder and have
a volume of 28n m³. Material for the side costs $3 per square meter and material for the base costs $6
8.
per square meter. What dimensions will minimize the total cost of the container?
Transcribed Image Text:(10 points) An open top storage container is to be made in the form of a right circular cylinder and have a volume of 28n m³. Material for the side costs $3 per square meter and material for the base costs $6 8. per square meter. What dimensions will minimize the total cost of the container?
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