An inverted cone has a height of 11 inches and an initial radius of 18 inches. The volume of the inverted cone is decreasing at a rate of 541 cubic inches per second, with the height being held constant. What is the rate of change of the radius, in inches per second, when the radius is 5 inches? Submit an exact answer. Do not forget to include a negative sign if the radius is decreasing. Remember that the volume of a cone is V=13πr2h.
An inverted cone has a height of 11 inches and an initial radius of 18 inches. The volume of the inverted cone is decreasing at a rate of 541 cubic inches per second, with the height being held constant. What is the rate of change of the radius, in inches per second, when the radius is 5 inches? Submit an exact answer. Do not forget to include a negative sign if the radius is decreasing. Remember that the volume of a cone is V=13πr2h.
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
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 14P
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An inverted cone has a height of 11 inches and an initial radius of 18 inches. The volume of the inverted cone is decreasing at a rate of 541 cubic inches per second, with the height being held constant. What is the rate of change of the radius, in inches per second, when the radius is 5 inches?
Submit an exact answer. Do not forget to include a negative sign if the radius is decreasing.
Remember that the volume of a cone is V=13πr2h.
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