Gravel is being dumped from a conveyor belt at a rate of 30 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 23 feet high? Recall that the volume of a right circular cone with height h and radius 1 of the base r is given by V 3 ft min

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Gravel is being dumped from a conveyor belt at a rate of 30 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 23 feet high?
Recall that the volume of a right circular cone with height h and radius
1
of the base r is given by V
TTr
3
ft
min
Transcribed Image Text:Gravel is being dumped from a conveyor belt at a rate of 30 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 23 feet high? Recall that the volume of a right circular cone with height h and radius 1 of the base r is given by V TTr 3 ft min
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Given that 

Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. 

It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. 

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