A cylindrical container is being filled with water at a rate of 10π cubic meters per minute. The radius of the base is 20 meters while the height of the container is 20 meters. How fast does the water rise in the container?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 42P: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s...

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A cylindrical container is being filled with water at a rate of 10π cubic meters per minute. The radius of the base is 20 meters while the height of the container is 20 meters. How fast does the water rise in the container?

A lifeguard needs to get to the opposite end of a circular pool with a radius of r. He swims with a speed v and runs at speed 2v. What is the minimum travel time for the lifeguard in terms of r and v?

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