$(5-$point$)$ The following figure shows a tube for siphoning water from an aquarium. The container is

cylindrical in shape and its horizontal plane is circular. The inner diameter of the tube at the exit is $2$ cm $.$

The height $h$ in the figure is $1\mathrm{.}8$ m $.$ The density of water is $1\mathrm{.}0{10}^{3}k\frac{g}{m^3}.$ The atmosphere pressure

is $1$atm$={10}^{5}Pa.$

$(1)$ If the diameter of the tank is far greater than the diameter of the tube, determine the flow velocity

at the exit of the tube. $(2-$point$)$

$(2)$ If the diameter of the tank is $4$ cm $,$ determine the flow velocity at the exit of the tube. $(3-$point$)$

Figure $4$