9000009910

A body is deformed continuously in a machine press. The density \(\rho \) is inversely proportional to the volume \(V \) of the body, i.e. there exists a constant \(k\) such that \[ \rho = \frac{k} {V }. \] Find the constant \(k\) (including the correct unit) if it is known that the density was \(\rho = 25\: \frac{\mathrm{kg}} {\mathrm{m}^{3}} \) when the body had volume \(V = 2\, \mathrm{dm}^{3}\).