Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by 1 v = r*h ft min

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in
the shape of a right circular cone whose base diameter and height are always equal. How fast is the
height of the pile increasing when the pile is 24 feet high?
Recall that the volume of a right circular cone with height h and radius of the base r is given by
1
v = r*h
ft
min
Transcribed Image Text:Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by 1 v = r*h ft min
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