$6.(15$ points$).$ During a slug test, a volume of water was introduced $($figure below$),$ the initial water depth was $4\mathrm{.}17$ m $,$ and after the test, the water rose to $2\mathrm{.}77$ m $.$ After the test, the water level dropped as indicated on the table below. The well data is as follows: $($Sanchez$-$San Roman, $2017)$

Well diameter: $20$ cm $.$

Aquifer thickness: $4\mathrm{.}2$ m

Casing and screen diameter: $15$ cm

Screen length: $4\mathrm{.}20$ m $($There is a gravel packing between the screen and the wall of the well, therefore the radius of the zone filtering water into the well $(\backslash ($ r$\_\{$f$\}\backslash ))$ is the diameter of the well, not the diameter of the screen, $\backslash (\backslash$left$(\backslash$mathrm$\{$r$\}\_\{\backslash$text $\{$s $\}\}\backslash$right$)\backslash ).$

Using the Cooper$-$Bredehoeft$-$Papadopulos method, calculate the hydraulic conductivity in $\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$day$\}\backslash ),$ and the storativity.