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 the same. How fast is the height of the pile increasing when the pile is 10 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = Tr*h. When the pile is 10 feet high, its height is increasing at feet per minute.
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 the same. How fast is the height of the pile increasing when the pile is 10 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = Tr*h. When the pile is 10 feet high, its height is increasing at feet per minute.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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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 the same. How fast is the
height of the pile increasing when the pile is 10 feet high? Recall that the volume of a right circular cone
with height h and radius of the base r is given by V = Tr*h.
When the pile is 10 feet high, its height is increasing at
feet per minute.
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