Q$1-$ A $200$ mm diameter well which fully penetrating a confined aquifer of thickness $25$ m is pumped at a constant rate of $2000\frac{m^3}{\text{D}\text{a}\text{y}}.$ The steady state drawdown in the well is $8$ m and the drawdown in a piezometer $100$ m from the well is $1\mathrm{.}4$ m $.$

Ignoring well losses, calculate the transmissivity of the aquifer, the hydraulic conductivity of the aquifer material and the radius of influence of the well.