Question

The radius of a cone is increasing at a constant rate of 2 meters per minute, and the volume is increasing at a rate of 333 cubic meters per minute. At the instant when the radius of the cone is 8 meters and the volume is 170 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=1/3
`\pi r^(2)h`. Round your answer to three decimal places.

Answer 1

3.071

Explanation:

Solution is available in attached file