At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 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 22 feet high? (Hint: The formula for the volume of a cone is V h' = ft/min Nood Help?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 42AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 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 22 feet high? (Hint: The formula for the volume of a cone is V = ²h.)
h' =
ft/min
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Transcribed Image Text:At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 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 22 feet high? (Hint: The formula for the volume of a cone is V = ²h.) h' = ft/min Need Help? Watch It Master It Read It Show My Work (optional)?
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