At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2 cubic feet per minute. The diameter of the base of the cone is approximately three times the arn.) altitude. At what rate (in ft/min) 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 = dh ft/min dt

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 43AR: 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 2 cubic feet per minute. The diameter of the base of the cone is approximately three times the
altitude. At what rate (in ft/min) 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 = -ar?h.)
3
dh
ft/min
dt
Transcribed Image Text:At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate (in ft/min) 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 = -ar?h.) 3 dh ft/min dt
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