The inside of a beaker is shaped like a circular cylinder with a base diameter of 121212 centimeters (\text{cm})(cm)(, start text, c, m, end text, ). Water in the beaker is filled to a height of 8\,\text{cm}8cm8, start text, c, m, end text above the base. A stainless steel sphere with a diameter of 6\,\text{cm}6cm6, start text, c, m, end text submerged in the liquid displaces an equal volume of water. How high above the base of the beaker is the new water level, in centimeters