A metallic sphere floats in an immiscible mixture of water (ρw=103kg/m3)and a liquid(ρl=13.5×103kg/m3) such that its 45th volume is in water and 15th of the volume in the liquid, Find the density of metal.
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Solution
Total upthrust = weight of metal sphere ∴(45V)(103)g+(15V)(13.5×105)g =(V)(ρmetal)(g) ∴ρmetal=3.5×103Kg/m3