Q$3.$ An $8\mathrm{.}2558\mathrm{.}9cm$ four$-$cylinder, four$-$stroke cycle SI engine is to have a maximum speed of $3000$ rpm and a volumetric efficiency of $80\%.$ If the maximum venture depression is to be $0\mathrm{.}1$ bar:

$($i$)$ What must be the size of the venture;

$($ii$)$ Determine the size of the fuel orifice if an air$-$fuel ratio of $12$ to $1$ is desired.

Assume the density of air as $1\mathrm{.}2k\frac{g}{m^3}.$