A cylindrical tank with a large diameter is filled with water to a depth D $=0\mathrm{.}30$ m$.$ A hole of cross$-$

sectional area A $=6\mathrm{.}5$ cm$2$ in the bottom of the tank allows water to drain out. $($a$)$ What is the drainage

rate 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?