A cylindrical tank with a closed top is to be constructed to hold a fixed volume of 16, 000 mº dimensions of the tank (radius r and height h) with the smallest possible total surface area. must justify your answer really does give the minimum surface area. - constraint equation in terms of r and h: objective function in terms of r: tank (in meters):

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A cylindrical tank with a closed top is to be constructed to hold a fixed volume of 16, 0007 m³. Find
he dimensions of the tank (radius r and height h) with the smallest possible total surface area.
ou must justify your answer really does give the minimum surface area.
constraint equation in terms of r and h:
objective function in terms of r:
dimensions of optimal tank (in meters):
radius (r)
Allqmie
height (h)
Transcribed Image Text:A cylindrical tank with a closed top is to be constructed to hold a fixed volume of 16, 0007 m³. Find he dimensions of the tank (radius r and height h) with the smallest possible total surface area. ou must justify your answer really does give the minimum surface area. constraint equation in terms of r and h: objective function in terms of r: dimensions of optimal tank (in meters): radius (r) Allqmie height (h)
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