$2.(10$ points$)$ A cylindrical water tank with a diameter of $60$ cm has a side hole of $2$ cm diameter and a bottom hole of $3$ cm in diameter. The water enters from the side hole and leaves from the bottom hole, as shown in the figure. At a certain time, where h $=40$ cm the water level was rising at a rate of $1\mathrm{.}5$ cm$/$sec$.$ Determine the water velocity through the inlet.