A fermentor is filled with medium at a rate of $1 \mathrm{~L} \mathrm{~min}^{-1}$. A leak develops at the bottom of the fermentor when the medium in the fermentor reaches $200 \mathrm{~L}$. The rate of medium leakage is $2 t \mathrm{~L} \mathrm{~min}^{-1}$, where ' $t$ ' is the time at which the leak begins.
The volume of medium in the fermentor after $10 \mathrm{~min}$ of leakage is $\_\_\_\_\_\_\_\_$ $\text{L}$ (Answer in integer).