Optimization A right triangle has legs of length h and r and a hypotenuse of length 4 (see figure). It is revolved about the leg of length h to sweep out a right circular cone. What values of h and r Tr'h.) maximize the volume of the cone? (Volume of a cone = Tr?i 4 h

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 31E
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Optimization A right triangle has legs of length h and r and a
hypotenuse of length 4 (see figure). It is revolved about the leg of
length h to sweep out a right circular cone. What values of h and r
Tr'h.)
maximize the volume of the cone? (Volume of a cone = Tr?i
4
h
Transcribed Image Text:Optimization A right triangle has legs of length h and r and a hypotenuse of length 4 (see figure). It is revolved about the leg of length h to sweep out a right circular cone. What values of h and r Tr'h.) maximize the volume of the cone? (Volume of a cone = Tr?i 4 h
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