A glass marble of mass 40g and volume 18cm3 is gently lowered into a jar containing two immiscible liquids. The upper layer is kerosene of density 800kgm−3 and the lower layer is glycerine of density 1260kgm−3. The height of the kerosene layer is greater than the diameter of the marble.
(i) Calculate the density of the marble.
(ii) Will the marble come to rest entirely in the kerosene layer, at the kerosene–glycerine interface, or sink into the glycerine layer? Support your answer with calculations.
(iii) If the marble finally floats partially submerged in the glycerine layer, calculate the volume of the marble that will be below the upper surface of glycerine in its equilibrium position.