Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Water is leaking out of an inverted conical tank at a rate of 13000 cubic centimeters per min at the
same time that water is being pumped into the tank at a constant rate. The tank has height 9 meters
and the diameter at the top is 7 meters. If the water level is rising at a rate of 27 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.
cm3
min
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Transcribed Image Text:Water is leaking out of an inverted conical tank at a rate of 13000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 9 meters and the diameter at the top is 7 meters. If the water level is rising at a rate of 27 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. cm3 min
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