Water is leaking out of an inverted conical tank at a rate of 10500.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 13.0 meters and the diameter at the top is 7.0 meters. If the water level is rising at a rate of 28.0 centimeters per minute when the height of the water is 2.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. cm³/min

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Water is leaking out of an inverted conical tank at a rate of 10500.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate.
The tank has height 13.0 meters and the diameter at the top is 7.0 meters.
If the water level is rising at a rate of 28.0 centimeters per minute when the height of the water is 2.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
cm³/min
Transcribed Image Text:Water is leaking out of an inverted conical tank at a rate of 10500.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 13.0 meters and the diameter at the top is 7.0 meters. If the water level is rising at a rate of 28.0 centimeters per minute when the height of the water is 2.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. cm³/min
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