Refer to the figure $($for a constant head test$)$ below. Given: $H_1=12in.,H_2=20in.,h_1=24in,h_2=18in,k_1=0\mathrm{.}026in\frac{.}{sec,k_2}=0\mathrm{.}0144i\frac{n}{sec},$ and diameter of the soil specimen is $D=3in.$ Determine the rate of flow of water through the Soil $2$ in in $\frac{{?}^3}{h}r.(40$ points$)$

$($Tip: total head at a point is the vertical distance from the datum to the water surface in the piezometer placed at the point$)$