Answer: Volume At a sand and gravel plant, sand is falling off a conveyor and onto a

Chapter 3, Problem 17

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Volume At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high? (Hint: The formula for the volume of a cone is \(V=\frac{1}{3} \pi r^{2} h\).)

Text Transcription:

V=1/3 pi r^2h

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