A metallic sphere floats in an immiscible mixture of water `(rho_(w)=10^(3)kg//m^(3))` and a liquid `(rho_(L)=13.5xx10^(3)kg//m^(3))` such that its `(4)/(5)th` volume is in water and `(1)/(5)th` volume in the liquid. Find the density of metal.