$(5$ pts$)6.$ A glass flask whose volume is $500\mathrm{.}0c{m}^3$ at $20\mathrm{.}0C$ is completely filled with a liquid at that temperature. When the temperature of both the flask and the liquid is raised to $70\mathrm{.}0C,4\mathrm{.}00c{m}^3$ of the liquid overflows. The coefficient of volume expansion of the glass is $3\mathrm{.}00{10}^{-5}{K}^{-1}.$ What is the coefficient of volume expansion of the liquid?

$($a$)0\mathrm{.}90{10}^{-4}{K}^{-1}$

$($b$)1\mathrm{.}3{10}^{-4}{K}^{-1}$

$($c$)1\mathrm{.}9{10}^{-4}{K}^{-1}$

$($d$)2\mathrm{.}4{10}^{-4}{K}^{-1}$

$($e$)$ none of the above answers