A metal storage tank with fixed volume V0 = 360π m^3 is to be constructed in the shape of a right circular cylinder (including the bottom) surmounted by a hemisphere. A picture is given below. What dimensions will require the least amount of metal? Show and organize your work; use the first derivative test or the second derivative test or other tools to check that yours is the desired optimal solution.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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A metal storage tank with fixed volume V0 = 360π m^3
is to be constructed in the shape of a right circular cylinder (including the bottom) surmounted by a hemisphere. A picture is given below.
What dimensions will require the least amount of metal? Show and organize your work; use the first
derivative test or the second derivative test or other tools to check that yours is the desired optimal
solution.

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ISBN:
9781938168383
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Jay Abramson
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