Gravel is being dumped from a conveyor belt at a rate of 10 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 12 feet high? Recall that the volume of a right circular cone with height h 1 Tr 3 and radius of the base r is given by V - ft min

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Gravel is being dumped from a conveyor belt at a rate of 10
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 12 feet high?
Recall that the volume of a right circular cone with height h
1
and radius of the base r is given by V
3
-
ft
min
Transcribed Image Text:Gravel is being dumped from a conveyor belt at a rate of 10 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 12 feet high? Recall that the volume of a right circular cone with height h 1 and radius of the base r is given by V 3 - ft min
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