A cylindrical stab of metal is being pressed into a large coin. As it is pressed the height and radius change but the metal remains a cylinder and the volume remains 12 cubic centimeters. When the height of the cylinder is 3 centimeters the height is also decreasing at A rate of 1 centimeter per second. By how many centimeters per second is the radius of the cylinder increasing at this time? (Note: the volume of a cylinder with heighth and radius r is πr2h)