Water is leaking out of an inverted conical tank at a rate of 15000 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 5 meters and the diameter at the top is 4 meters. If the water level is rising at a rate of 25 centimeters per minute when the height of the water is 3 meters, find the rate at which water is being pumped into the tank (in cubic centimeters per minute).
Water is leaking out of an inverted conical tank at a rate of 15000 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 5 meters and the diameter at the top is 4 meters. If the water level is rising at a rate of 25 centimeters per minute when the height of the water is 3 meters, find the rate at which water is being pumped into the tank (in cubic centimeters per minute).
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 15000 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 5 meters and the diameter at the top is 4 meters. If the water level is rising at a rate of 25 centimeters per minute when the height of the water is 3 meters, find the rate at which water is being pumped into the tank (in cubic centimeters per minute).
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