The scattering of

-polarized plane waves by an infinitely long axially magnetized cylinder of uniform plasma with a perfectly conducting cylindrical core at its center is investigated for the case in which the radius of the plasma column is small in comparison with the wavelength of the incident wave. The total scattering cross section is found to have maxima at three resonant frequencies. The peaks of these resonances as well as the dependence of their sharpness on the various physical parameters are examined in detail.