You are designing a new thermometer using Galinstan, an alloy of gallium, indium, and tin that is a liquid at normal living temperatures. The coefficcient of thermal expansion is 190*10^-6 (1/kelvin). The thermometer will contain four cubic centimeters of Galinstan, most of which is in the bulb or reservoir that is connected to a capillary tube up which the liquid moves as it expands. If your design specifications are to have a 2millimeter change in the position of the liquid in the capillary tube for each degree Fahrenheit change in temperature, what is the diameter of the capillary tube, assuming it has a circular cross section?