At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8 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 = ²h.) ft/min

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Chapter1: Chemical Foundations
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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 8 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 =
===πr²h.)
ft/min
Transcribed Image Text:At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8 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 = ===πr²h.) ft/min
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