Are $6\mathrm{.}2$ L$,$ V$8,4$ stroke cycle SI engine is designed to have a maximum speed of $6500$ RPM$.$ At this speed, volumetric efficiency is $88\%.$ The engine is equipped with a four barrel carburetor, each barrel having a discharge coefficient of Cdt$=0\mathrm{.}95.$ The fuel used is gasoline at AF$=15$:$1($Density of gasoline $$f$=750$kg$/$m$3,$a$=1\mathrm{.}181$kg$/$m$3.$ Calculate i$)$ minimum throat diameter needed in each carburetor venturi $[$cm$]$ ii$)$ Fuel capillary tube diameter needed for each venturi throat if tube discharge coefficient of Cdc $=0\mathrm{.}85$ and the capillaery tube height differential is small$[$mm$]$