The height of a cone is increasing at a constant rate of 4 feet per second, and the volume is increasing at a rate of 862 cubic feet per second. At the instant when the radius of the cone is 7 feet and the volume is 410 cubic feet, what is the rate of change of the radius? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V=31πr2h. Round your answer to three decimal places.
The height of a cone is increasing at a constant rate of 4 feet per second, and the volume is increasing at a rate of 862 cubic feet per second. At the instant when the radius of the cone is 7 feet and the volume is 410 cubic feet, what is the rate of change of the radius? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V=31πr2h. Round your answer to three decimal places.
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.3: Modeling With Linear Equations
Problem 5ECP: A boat travels at a constant speed to an island 14 miles away. It takes 0.5 hour to travel the first...
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The height of a cone is increasing at a constant rate of 4 feet per second, and the volume is increasing at a rate of 862 cubic feet per second. At the instant when the radius of the cone is 7 feet and the volume is 410 cubic feet, what is the rate of change of the radius? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V=31πr2h. Round your answer to three decimal places.
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