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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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