An unevenly weighted baton (cylindrical in shape) consists of two sections: a denser (lower) section and a less dense (upper) section. When placed in water, it is upright and barely floats. The baton has a diameter of 2.00 cm ; its lower part is made of steel with a density of 7800 kg/m^3 , and the upper part is made of wood with a density of 810 kg/m^3 . The steel part has a length of 5.20cm . Find the length of the wooden section in meters.