A \(20 \, \text{cm}\) diameter well is penetrating a confined aquifer. The rate of discharge is \(0.2 \, \text{m}^3/\text{sec}\), the drawdowns at \(10 \, \text{m}\) and \(30 \, \text{m}\) distance from the well are observed to be \(3.5 \, \text{m}\) and \(2 \, \text{m}\) respectively. Determine hydraulic conductivity and transmissivity of aquifer.