Problem $5(20$ points$/15$ minutes$)$

A well pumps at steady state condition of $1\mathrm{.}5\frac{m^3}{s}$ from a confined aquifer whose thickness is $20$

$m.$ If the drawdown $25m$ from the well is $0\mathrm{.}5m$ and the draw down $50m$ from the well is $0\mathrm{.}25m$

$($a$)$ Calculate the hydraulic conductivity and transmissivity of the aquifer.

$($b$)$ Can storativity be estimated using these data? Why or why not? $($Hint: write the GW flow equation for this situation$)$

$($c$)$ If the diameter of the pumped well is $0\mathrm{.}5m$ and the drawdown at the pumped well is measured to be $3m,$ then calculate the radial distance to where the drawdown is equal to zero.