As shown in the diagram, an empty cylindrical vessel of negligible thickness lies on a horizontal surface. The base radius of the vessel is
5 cm and the height is 20 cm. Inside the vessel is a wooden cube which
has side length 6 cm, and its weight is evenly distributed.
When floating in water, the top and bottom faces of the cube will be horizontal,
and 1313 of its volume is above water. How much water, in cm3cm3
, must be poured into the vessel so that the top face of the cube is level with the mouth of the vessel?( 3.14 = π )