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?

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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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