Learning Goal:

To practice Problem$-$Solving Strategy $14\mathrm{.}1$ Thermal expansion

A metal tank with a capacity of $1700$ LL is completely filled with ethanol when both the tank and the ethanol are at temperature $19\mathrm{.}0$C$$C$.$ Then the tank and its contents are brought underground, where the temperature is $10\mathrm{.}0$C$$C $.$ What volume of air will there be above the ethanol in the tank after the system has cooled off to the ground temperature? The coefficient of volume expansion for ethanol is ee $=1\mathrm{.}10103$ K$1$K$1.$ The tank is made of a metal for which the coefficient of linear expansion is tt $=1\mathrm{.}20105$ K$1$K$1.$

Which of the following statements correctly describes the volume change of the ethanol and the metal tank? It may help you to think of the tank as a cylindrical shell.