The flow rate of methanol at 20 degree C (rho = 788.4 kg/m^3 and mu = 5.857 times 10^-4 kg/m.s) through a 4-cm diameter pipe is to be measured with a 3-cm-diameter orifice meter equipped with a mercury manometer across the orifice place. If the differential height of the manometer is 11 cm, determine the flow rate of methanol through the pipe and the average flow velocity.