Two identical specimens, $4cm$ in diameter and $8cm$ in length of partially saturated compacted soil are tested in a triaxial cell under undrained conditions. The first specimen failed at an additional axial load i$.$c$.,$ deviator load of $720N$ under cell pressure of $100k\frac{N}{m^2}.$ The second specimen failed at an additional axial load of $915N$ under a cell pressure of $200k\frac{N}{m^2}.$ The increase in volume of the first specimen at failure is $1\mathrm{.}2ml$ and it shortens by $0\mathrm{.}6cm$ at failure. The increase in volume of the second specimen at failure is $1\mathrm{.}6ml$ and it shortens by $0\mathrm{.}8cm$ at failure. Determine the value apparent cohesion and the angle of shearing resistance by analytically.

$[7$ Marks$]$