Answer
You will end up with 5.9 mL less water, an error of about 1.6 percent.
Work Step by Step
The Pyrex glass does not expand, and the cup contains 375 mL of hot water. Find the change in volume of the hot water after it cools down to room temperature.
$$\Delta V=V_o\beta\Delta T=(375\;mL)(210\times10^{-6}/C)(20C-95C)=-5.9\;mL$$
The volume of room temperature water is 5.9 mL less than the calibrated volume of 375 mL.