For a given month, a lake with a surface area of $2\mathrm{.}2$ km$2$ has $0\mathrm{.}815$ m$3/$s of inflow, $0\mathrm{.}730$ m$3/$s of

outflow, and the depth of the lake increased by $9$ mm$.$ A precipitation gauge near the lake recorded $25$

mm over the month. Assuming that the lake does not lose water through seepage into groundwater,

determine the amount of evaporation that occurred over the month, rounded to nearest mm$.$