The radius of a cylinder is decreasing at a constant rate of 3 feet per second. The volume remains a constant 1192 cubic feet. At the instant when the radius of the cylinder is 9 feet, what is the rate of change of the height? The volume of a cylinder can be found with the equation V = Tr2h. Round your answer to three decimal places.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 8.178TI: The area of a circle varies directly as the square of the radius. A circular pizza with a radius of...
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The radius of a cylinder is decreasing at a constant rate of 3 feet per second. The
volume remains a constant 1192 cubic feet. At the instant when the radius of the
cylinder is 9 feet, what is the rate of change of the height? The volume of a cylinder
can be found with the equation V = Tr h. Round your answer to three decimal
places.
Transcribed Image Text:The radius of a cylinder is decreasing at a constant rate of 3 feet per second. The volume remains a constant 1192 cubic feet. At the instant when the radius of the cylinder is 9 feet, what is the rate of change of the height? The volume of a cylinder can be found with the equation V = Tr h. Round your answer to three decimal places.
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