The radius of a cylindrical tube is increasing at a rate of 2 meters per hour, and the height of the cylinder is decreasing at a rate of 5 meters per hour. At a certain instant, the base radius is 4 meters and the height is 6 meters. What is the rate of change of the volume of the cylinder at the instant? What is the ratio of the instantaneous radius to the altitude at the instant when the rate of the volume is neither increasing nor decreasing?

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