Water is leaking out of an inverted conical tank at a rate of 8500 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 7 meters. If the water level is rising at a rate of 24 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. Leave answers in 3 decimal places. 1 The volume of a cone with base radius r and height h is given by 3 cm

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 8500 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 7 meters. If the water level is rising at a rate of 24 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. Leave answers in 3 decimal places.
The volume of a cone with base radius r and height h is given by – r*h,
3
cm3
min
Transcribed Image Text:Water is leaking out of an inverted conical tank at a rate of 8500 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 7 meters. If the water level is rising at a rate of 24 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. Leave answers in 3 decimal places. The volume of a cone with base radius r and height h is given by – r*h, 3 cm3 min
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