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A sphere of solid material of relative density 9 has a concentric spherical cavity and just sinks in water. If the radius of sphere be r, then the radius of cavity (r) will be related to r as

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here is you answer

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ACCORDING to the LAW of floatation

a body FLOATS if weight of the body is EQUAL to the weight of water displayed

            weight of the sphere =weight of the water displaced

          4/3π(R^3-r^3)*9 pw=4/3πr^3pw

              9(R^3-r^3)=R^3

             r^3=8/9r^3

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