Chapter 13, Problem 19PE

A physicist makes a cup of instant coffee and notices that, as the coffee cools, its level drops 3.00 mm in the glass cup. Show that this decrease cannot be due to thermal contraction by calculating the decrease in level if the

$\text{35}0{\text{ cm}}^{\text{3}}$ of coffee is in a 7.00−cm−diameter cup and decreases in temperature from $\text{95}.0°\text{C}$ to $\text{45}.0°\text{C}$. (Most of me drop in level is actually due to escaping bubbles of air.)