Water is leaking out of an inverted conical tank at a rate of 14700.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 13.0 m and the the diameter at the top is 6.5 m. If the water level is rising at a rate of 21.0 cm/min when the height of the water is 4.5 m, 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
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Water is leaking out of an inverted conical tank at a rate of 14700.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 13.0 m and the the diameter at the top is 6.5 m. If the water level is rising at a rate of 21.0 cm/min when the height of the water is 4.5 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

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