The mass of an atom is concentrated in the nucleus. The nuclear radius is expressible in terms of the mass number \(A\) by the relation \(R=1.2 A^{1 / 3} \mathrm{fm}\), where \(1 \mathrm{fm}=10^{-15} \mathrm{~m}\). The quantity \(A\) represents the number of nucleons, that is, the sum of protons and neutrons. Estimate the nuclear density in terms of the density of water.