(23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a right circular cone. What is the height of the greatest possible volume of this cone?

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.CR: Review Exercises
Problem 21CR: Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5...
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(23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a
right circular cone. What is the height of the greatest possible volume of this cone?
Transcribed Image Text:(23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a right circular cone. What is the height of the greatest possible volume of this cone?
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