The radius of a right circular cone is increasing at a rate of 10 inches per minute, and the height is decreasing at a rate of 8 inches per minute. What are the rates of change of the volume and surface area when the radius is 12 inches and the height is 36 inches? rate of change of the volume in/min rate of change of the surface area in?/min

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 3E
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The radius of a right circular cone is increasing at a rate of 10 inches per minute, and the height is decreasing at a rate of 8 inches per minute. What are the rates of change of the
volume and surface area when the radius is 12 inches and the height is 36 inches?
rate of change of the volume
in3/min
rate of change of the surface area
in?/min
Transcribed Image Text:The radius of a right circular cone is increasing at a rate of 10 inches per minute, and the height is decreasing at a rate of 8 inches per minute. What are the rates of change of the volume and surface area when the radius is 12 inches and the height is 36 inches? rate of change of the volume in3/min rate of change of the surface area in?/min
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