Water is leaking out of an inverted conical tank at a rate of 14800 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 5.5 meters. If the water level is rising at a rate of 15 centimeters per minute when the height of the water is 4.5 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. cm3 min 13

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 14800 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 5.5 meters. If the water level is rising at a rate of 15 centimeters per minute when
the height of the water is 4.5 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
cm3
min
Transcribed Image Text:Water is leaking out of an inverted conical tank at a rate of 14800 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 5.5 meters. If the water level is rising at a rate of 15 centimeters per minute when the height of the water is 4.5 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 cm3 min
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