By using the disk method, find the volume of a circular cone of radius r and height h. Initially, the radius and the height of the cone are 12m and 6m, respectively. Then, the cone starts to shrink in size at a constant rate of 2m?/min, how fast is the radius of the base of the cone decreasing when the height of the cone is 5m?

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 22CR
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By using the disk method, find the volume of a circular cone of radius r and height h.
Initially, the radius and the height of the cone are 12m and 6m, respectively. Then, the
cone starts to shrink in size at a constant rate of 2m?/min, how fast is the radius of the
base of the cone decreasing when the height of the cone is 5m?
Transcribed Image Text:By using the disk method, find the volume of a circular cone of radius r and height h. Initially, the radius and the height of the cone are 12m and 6m, respectively. Then, the cone starts to shrink in size at a constant rate of 2m?/min, how fast is the radius of the base of the cone decreasing when the height of the cone is 5m?
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