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 2 feet high? (Hint: The formula for the volume of a cone is V = h' = ft/min Need Help? Read It Watch It Master It E Show My Work (Optional) 3? Submit Answer

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 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 2
feet high? (Hint: The formula for the volume of a cone is v = arh.)
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 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 2 feet high? (Hint: The formula for the volume of a cone is v = arh.) h' = ft/min Need Help? Read It Watch It Master It B Show My Work (Optional) ? Submit Answer View Previous Question Question 32 of 51 View Next Question Home My Assignments Request Extension Copyright © 1998- 2022 Cengage Learning, Inc. All Rights Reserved TERMS OF USE PRIVACY wi DELL
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