Water is leaking out of an inverted conical tank at a rate of 9600 cubic centimeters per min at the same time. that water is being pumped into the tank at a constant rate. The tank has height 12 meters and the diameter at the top is 6 meters. If the water level is rising at a rate of 24 centimeters per minute when the height of t the water is 1 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Round to the nearest whole number. cm³ min

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Water is leaking out of an inverted conical tank at a rate of 9600 cubic centimeters per min at the same time.
that water is being pumped into the tank at a constant rate. The tank has height 12 meters and the diameter
at the top is 6 meters. If the water level is rising at a rate of 24 centimeters per minute when the height of
the water is 1 meters, find the rate at which water is being pumped into the tank in cubic centimeters per
minute. Round to the nearest whole number.
cm3
min
Transcribed Image Text:Water is leaking out of an inverted conical tank at a rate of 9600 cubic centimeters per min at the same time. that water is being pumped into the tank at a constant rate. The tank has height 12 meters and the diameter at the top is 6 meters. If the water level is rising at a rate of 24 centimeters per minute when the height of the water is 1 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Round to the nearest whole number. cm3 min
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