A bowl with a circular (top) base and cross section bounded by {{MATH_1}}, for {{MATH_2}}, and by {{MATH_3}}, for {{MATH_4}}, is empty at time {{MATH_5}} seconds. {{CMD_6}} {{ENV_7}} {{CMD_8}} If water is being added to the bowl so that the height of the water is rising at {{MATH_9}} cm per second, what rate is the radius of the circle, determined by the surface of the water, changing when the height of the water is {{MATH_10}} cm?