A car has a five$-$litre CI V$8$ engine that operates on a four$-$stroke cycle. The engine is connected to a dynamometer, giving a brake output torque reading of $250$ N$-$m at $3600$ rpm$.$ At this speed, air enters the cylinders at $90$ kPa and $50$ degrees celsius, and the engine's mechanical efficiency is $80\%.$ The engine has a $102\mathrm{.}7$ mm bore and $75\mathrm{.}3$ mm stroke. The calorific value of fuel is $45000$ kJ$/$kg$,$ and the specific fuel consumption based on the brake power $($BSFC$)$ is $0\mathrm{.}22$ kg$/$kWh$.$ Determine: The swept volume of each cylinder, the brake power, the indicated power, the indicated mean effective pressure, and the brake thermal efficiency.