PDF of the normalized mass surface density X_n in case of spheres (top figure) and the asymptotic PDF in case of cylinders (bottom figure) with a truncated radial density profile given by Eq. (1) for various assumptions of the power n. The thin lines show at which mass surface density X_n at given density ratio q = ρ(r_cl) /ρ_c the PDF corresponding to a certain power n truncates (for spheres) or has a pole (for cylinders). The lines are labeled with log ₁₀q. The dashed lines show the asymptotic behavior at large and small X_n.