A fully penetrating well has been pumping from a large confined aquifer for a long time. The hydraulic conductivity $(K)$ of the aquifer is $0\mathrm{.}022c\frac{m}{s}.$ At a point $30m$ from the well, the slope of the piezometric surface is $0\mathrm{.}0217.$ The saturated thickness of the aquifer is $15m.$

$($a$)$ Calculate the well discharge in $\frac{m^3}{s}.(10$ points$)$

$($b$)$ What is the drawdown $)=(s_1-s_2$ between $r_1=0\mathrm{.}2m$ and $r_2=30$

m$.(10$ points$)$