umped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile - cone whose base diameter and height are always equal. How fast is the height the pile is 13 feet high? alumo of o right eireul

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Gravel is being dumped from a conveyor belt at a rate of 10 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 13 feet high?
1
Recall that the volume of a right circular cone with height h and radius of the base r is given by V
%3D
ft
min
Transcribed Image Text:Gravel is being dumped from a conveyor belt at a rate of 10 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 13 feet high? 1 Recall that the volume of a right circular cone with height h and radius of the base r is given by V %3D ft min
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