$(30$ points$)$ When a container is filled to the brim with liquid, what happens when the temperature rises? You are doing a controlled experiment on a strange, liquid metallic substance.

A glass flask has volume $1\mathrm{.}33{10}^{-3}{m}^3$ at $-{4\mathrm{.}0}^{0}C$ and is completely filled $($to the brim$)$ with a strange, liquid metal at this temperature. The volume thermal expansion coefficient of glass is ${}_g=1\mathrm{.}71{10}^{-5}(C{)}^{-1}.$ When the flask and metal are warmed to $60\mathrm{.}0C,$ some of the liquid metal overflows and the metal's volume thermal expansion coefficient is found to be ${}_m=17\mathrm{.}5{10}^{-5}{(}^{0}C{)}^{-1}.$

What is the volume of fluid metal that overflows? When done, you might want to convert your answer to $c{m}^3$ to better see the spill.