Answer correctly, comprehensively, and neatly. Thank you. A vertical liquid storage tank shaped like a cone has a radius of 8 m at the top and 22 m high. If liquid flows into the storage tank at a rate of 18 m³/s, how fast is the depth of the liquid increasing when the liquid is 14 m deep?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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Answer correctly, comprehensively, and neatly. Thank you. A vertical liquid storage tank shaped like a cone has a radius of 8 m at the top and 22 m high. If liquid flows into the storage tank at a rate of 18 m³/s, how fast is the depth of the liquid increasing when the liquid is 14 m deep?
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