A liquid solution is passing thru a conical filter 2 feet deep and 4/3 feet across the top, into a cylindrical container of diameter 1 foot. At what rate is the level of the solution in the cylinder rising, in cm per second, if, when the depth of the solution in the filter is 1 foot, its level is falling at the rate of 1/12 foot per minute?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A liquid solution is passing thru a conical filter 2 feet deep and 4/3 feet across the top, into a cylindrical container of diameter 1 foot. At what rate is the level of the solution in the cylinder rising, in cm per second, if, when the depth of the solution in the filter is 1 foot, its level is falling at the rate of 1/12 foot per minute?

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