The X-ray and neutron contrast variation data of the 50 S ribosomal subunit of Escherichia coli in solution are interpreted in the frame of a two-phase model described by the shapes of the 50 S subunit and its RNA-rich core taking into account density fluctuations inside the RNA and the protein moiety. The shape of the envelope of the 50 S subunit and of the RNA-rich core are evaluated with a resolution of about 4 nm. The shape of the envelope is in good agreement with the models of the 50 S subunit obtained from electron microscopy on isolated particles. The shape of the RNA-rich core correlates well with the model of the entire particle determined by the image reconstruction from ordered sheets indicating that the latter model which is based on the subjective contouring of density maps is heavily biased towards the RNA.