conical tank with the point oriented down, a height of 20 feet, and a radius of 3 feet has sprung a leak. How fast does the depth of water change when the water is 5 feet high if the cone leaks water at a rate of 3 cubic feet per minute?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 42E: A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft...
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A right conical tank with the point oriented down, a height of 20 feet, and a radius of 3 feet has sprung a leak. How fast does the depth of water change when the water is 5 feet high if the cone leaks water at a rate of 3 cubic feet per minute?

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