Given that the volume of a right circular cone is h V = n r" 3' where r is the radius of the circular base and h is the cone's height. Find the rate of change of the volume at the moment when the radius is 4 cm and increasing at a rate of 0.3 cm/min and the height is 5 cm and decreasing at a rate of 0.6 cm/min.

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 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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Given that the volume of a right circular cone is
h
V = a r?"
3'
where r is the radius of the circular base and h is the cone's height. Find the rate of
change of the volume at the moment when the radius is 4 cm and increasing at a
rate of 0.3 cm/min and the height is 5 cm and decreasing at a rate of 0.6 cm/min.
Transcribed Image Text:Given that the volume of a right circular cone is h V = a r?" 3' where r is the radius of the circular base and h is the cone's height. Find the rate of change of the volume at the moment when the radius is 4 cm and increasing at a rate of 0.3 cm/min and the height is 5 cm and decreasing at a rate of 0.6 cm/min.
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