A cylindrical tank with a large diameter is filled with water to a depth D $=0\mathrm{.}456$ m$.$ A hole of cross$-$sectional area A $=5\mathrm{.}48$ cm$^2$ in the bottom of the tank allows water to drain out. $($a$)$ What is the rate at which water flows out, in cubic meters per second? $($b$)$ At what distance below the bottom of the tank is the cross$-$sectional area of the stream equal to one$-$half the area of the hole?