A right angle triangle of given hypotenuse 13 is rotated about one of its legs to generate a right circular cone.  find the dimensions of the cone with greatest volume.

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
Section9.3: Cylinders And Cones
Problem 25E
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A right angle triangle of given hypotenuse 13 is rotated about one of its legs to generate a right circular cone. 
find the dimensions of the cone with greatest volume. 

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