The total surface area of an industrial cylindrical autoclave is to be limited to 20 m². If it is constructed to maximize the volume, what should be the ratio of the height to that of the radius?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
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4. The total surface area of an industrial cylindrical autoclave is to be limited to 20 m?. If it is constructed to maximize
the volume, what should be the ratio of the height to that of the radius?
A. 1
В. 2
С. 3
D. 10/3
E. None of these
Transcribed Image Text:4. The total surface area of an industrial cylindrical autoclave is to be limited to 20 m?. If it is constructed to maximize the volume, what should be the ratio of the height to that of the radius? A. 1 В. 2 С. 3 D. 10/3 E. None of these
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