The acoustic radiation field of an axisymmetric spherical radiator with mixed surface boundary conditions is determined numerically. The general problem consists of a sphere comprised of a radially vibrating polar cap and a contiguous pressure release belt mounted on a rigid baffle (the remainder of the sphere). Two limiting cases, a vanishing belt or a vanishing baffle, are also considered. The radiation field is developed using both a least‐mean‐square‐error method of analysis and a point matching or boundary collocation analysis. The radiation characteristics of the general problem are found to be intermediate between those of the two limiting cases.