Consider a beaker in which a thick layer of oil ($($po=740.$=740.$ kg/$/$m?)$?)$ is poured on top of another thick layer of syrup ($($ps=1320$=1320$ kg/$/$m3).$3).$ The two do not mix. We submerge a cylinder with density pc=1050$=1050$ kg/$/$m in the layer of syrup, and then release it.$.$ We note that the cylinder comes to rest between at the interface between the layers, with a portion in the oil and a portion in the syrup. Find the portion of the cylinder's volume that will be in the oil.