Water is leaking out of an inverted conical tank at a rate of 9200 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 20 centimeters per minute when the height of the water is 2 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
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Question 6 : Water is leaking out of an inverted conical tank at a rate of 92009200 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 66 meters and the diameter at the top is 33 meters. If the water level is rising at a rate of 2020 centimeters per minute when the height of the water is 22 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Answer in cm3/min

Water is leaking out of an inverted conical tank at a rate of 9200 cubic centimeters per min at the same
time that water is being pumped into the tank at a constant rate. The tank has height 6 meters and the
diameter at the top is 3 meters. If the water level is rising at a rate of 20 centimeters per minute when
the height of the water is 2 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 9200 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 20 centimeters per minute when the height of the water is 2 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. cm³ min
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