4. Sand is falling off a conveyor and into a conical pile. The Volume V of the pile is given by V = - where r is the radius of the base in feet. The 3 circumference of the base is increasing at a constant rate of 57 feet per hour. When the circumference of the base is 87 feet, what is the rate of change of the volume of the pile, in cubic feet per hour?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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4. Sand is falling off a conveyor and into a conical pile. The Volume V of the
pile is given by V = -
where r is the radius of the base in feet. The
3
circumference of the base is increasing at a constant rate of 57 feet per hour.
When the circumference of the base is 87 feet, what is the rate of change of the
volume of the pile, in cubic feet per hour?
Transcribed Image Text:4. Sand is falling off a conveyor and into a conical pile. The Volume V of the pile is given by V = - where r is the radius of the base in feet. The 3 circumference of the base is increasing at a constant rate of 57 feet per hour. When the circumference of the base is 87 feet, what is the rate of change of the volume of the pile, in cubic feet per hour?
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