Water is leaking out of an inverted conical tank at a rate of 13600 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 28 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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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Water is leaking out of an inverted conical tank at a rate of 13600 cubic centimeters per min at the same
time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the
diameter at the top is 3 meters. If the water level is rising at a rate of 28 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 13600 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 28 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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