$($The solution is T$=447$ ft$^2/$hr; s$=1\mathrm{.}67$ft$)$ A field test is conducted in a confined aquifer by pumping a constant discharge of $525$ ft$^3/$hr from a $8-$in$.$ diameter well. After steady state is reached, a drawdown of $3\mathrm{.}2$ ft is measured in the pumped well. Also measured are drawdowns of $2\mathrm{.}55$ ft$,2\mathrm{.}1$ ft$,1\mathrm{.}9$ ft$,$ and $1\mathrm{.}86$ ft respectively at $10,150,300,$ and $450$ ft from the pumped well. Determine the transmissivity for this aquifer and the drawdown at a location $1,500$ ft from the well.