Water is leaking out of an inverted conical tank at a rate of 7,500 cm³/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.) |cm3/min

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 55AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Water is leaking out of an inverted conical tank at a rate of 7,500 cm³/min at the
same time that water is being pumped into the tank at a constant rate. The tank has
height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of
20 cm/min when the height of the water is 2 m, find the rate at which water is being
pumped into the tank. (Round your answer to the nearest integer.)
cm3/min
Transcribed Image Text:Water is leaking out of an inverted conical tank at a rate of 7,500 cm³/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.) cm3/min
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