A mercury thermometer is constructed as shown. The capillary tube has a diameter of 0.0034 cm, and the bulb has a diameter of 0.13 cm. Neglecting the expansion of the glass, find the change in height of the mercury column for a temperature change of 16 ◦C. The volume expansion coefficient for mercury is 0.000182 (◦C)−1 . Answer in units of cm.