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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
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 20 feet high?
Recall that the volume of a right circular cone with height h and radius of the baser is given by
1
r²h
V =
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 20 feet high? Recall that the volume of a right circular cone with height h and radius of the baser is given by 1 r²h V = ft min
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