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? A. 6.2876x10ft/min B. 8.6276x10 ft/min C. 7.6286x10-°ft/min D. 2.6286x10°ft/min

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter19: Achievement Review—section One
Section: Chapter Questions
Problem 29AR: A piece of round stock is being turned to a 17.86-millimeter diameter. A machinist measures the...
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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 15 feet high?
A. 6.2876x10 ft/min
B. 8.6276x10 ft/min
C. 7.6286x10-°ft/min
D. 2.6286x10ft/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 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? A. 6.2876x10 ft/min B. 8.6276x10 ft/min C. 7.6286x10-°ft/min D. 2.6286x10ft/min
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