The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the height is increasing at the rate of 6 cm/min. At what rate is the volume changing when the height is 12 cm and the radius is 6 cm?

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
Section12.6: Solving Problems Involving Quadratic Equations
Problem 1.3E
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The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the height is increasing at the rate of 6 cm/min. At what rate is the volume changing when the height is 12 cm and the radius is 6 cm?

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