A liquid with a constant density of $800$kg$/$m$^3$ enters a frictionless Venturi meter. The diamter at the entrance to the meter is $2$ cm and the diamter at the throat of the Venturi is $1$ cm$.$ Each of these two points is connected to a pressure tap and a manometer. The manometer at the entrance to the Venturi reads $296$mm and manometer at the throat reads $165$mm$.$ What is the volumetric flow rate through this Venturi meter?

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