Previous studies have explained acoustic scattering from an infinite cylinder or a sphere. The scattering depends strongly on resonances that are related to the propagation of circumferential waves when the acoustic axis is perpendicular to the cylinder axis or the propagation of guided waves when the insonification is oblique. The method of isolation and identification of resonances (MIIR) developed in our laboratory is used to study acoustic scattering from a finite cylindrical shell bounded by two plane disks. The acoustic beam diameter is larger than the target dimensions. When the acoustic beam axis is perpendicular to the target axis, the resonances observed on the resonance spectrum are identical to those observed with an infinite cylindrical shell. When the acoustic beam axis is not perpendicular to the target axis, the resonances are more numerous and, for certain incidence angles, next resonances have the same mode.