The subject of numerical research is a seven-layer cylindrical shell subjected uniformly distributed external pressure. The shell is thin-walled sandwich structure composed of main corrugated core (made of a thin metal sheet) and two three-layer faces. The cores of the faces are porous and made of isotropic metal foam. The corrugation of the main core is along longitudinal axis of the shell. The shell is simply supported at its all outer edges. Numerical FEM model of the shell is elaborated. Critical pressure for the family of these shells are calculated. Furthermore, developed a model of an equivalent single-layer shell wherein diameter, and weight are the same as the seven-layer shell. It has been shown several times higher resistance to buckling of a seven-layer shell compared to the single-layer shell.