the orifice flow meter below is located in a horizontal pipe carrying gasoline. the diameter of the pipe at section $1$ is $8$ cm and at the constriction $($section $2)$ is $4$ cm$.$ the pressure at point $1$ is $500$ kPa $($gage$)$ and at point $2$ is $120$ kPa $($gage$).$ the Cd coefficient of the orifice is $0\mathrm{.}64.$ find the following: $($a$)$ the volumetric flowrate through the pipe. $($b$)$ the velocity in the pipe. $($c$)$ the mass flowrate through the pipe.