Please answer the following question on Related Rates-Angle of Elevation, including the knowns/unknowns, appropriate diagram and concluding statement: Joe starts up a machine and gravel is dumped from a conveyer belt at a rate of 30 ft3/sec. The courseness of the gravel is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile of gravel changing

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Please answer the following question on Related Rates-Angle of Elevation, including the knowns/unknowns, appropriate diagram and concluding statement:

Joe starts up a machine and gravel is dumped from a conveyer belt at a rate of 30 ft3/sec. The courseness of the gravel is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile of gravel changing when the pile is 10 feet high? 

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