An inverted $3-$m$-$high conical container shown in Fig. is initially filled with $2-$m$-$high water. At time t$=0,$ a faucet is opened to supply water into the container at a rate of $3$L$//$s$.$ At the same time, a $4-$cm$-$diameter hole with a discharge coefficient of $0\mathrm{.}90$ at the bottom of the container is opened. Determine how long it will take for the water level in the tank to drop to $1-$m$.$