A typical thermometer uses a thin, cylindrical, glass tube with a large spherical bulb at the bottom to hold mercury. Then, as the temperature rises, the mercury expands and is forced to rise up the cylindrical tube. Given the initial volume of mercury is approximately the volume of the spherical bulb (1c * m ^ 3) and the cross sectional area of the tube is 3 * 10 ^ - 4 * c * m ^ 2 how far will the mercury rise for a 5C increase in temperature. The average coefficient of volume expansion for mercury is 1.8*10^ -4/^ C and you can ignore the expansion of the glass.