Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 21 feet high? Round to three significant digists. Recall that the volume of a right circular cone with height h and radius of the base r is given by V = r²h ft min

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 84AP: A force vector A has x and y components, respectively, of -8.80 units of force and 15.00 units of...
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Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the
shape of a right circular cone whose base diameter and height are always equal. How fast is the height of
the pile increasing when the pile is 21 feet high? Round to three significant digists.
Recall that the volume of a right circular cone with height h and radius of the base r is given by
V =
r²h
ft
min
Transcribed Image Text:Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 21 feet high? Round to three significant digists. Recall that the volume of a right circular cone with height h and radius of the base r is given by V = r²h ft min
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