Gravel is being dumped from a conveyor belt at a rate of 30 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 15 feet high? 1 Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 3 ft min
Gravel is being dumped from a conveyor belt at a rate of 30 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 15 feet high? 1 Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 3 ft min
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Gravel is being dumped from a conveyor belt at a rate of 30 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 15 feet high?
Recall that the volume of a right circular cone with height h and radius of the base r is given by V =
3
%3D
ft
min
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