The radiation impedance, self and mutual, and nearfield pressure of finite pistons and rings on oblate and prolate spheroidal baffles have been computed for several combinations of radiator size, ratio of height-to-diameter (α), and of the frequency parameter h(h = Kd/2), where K is the wavenumber and d is the interfocal distance of the spheroid). These results were obtained by substituting numerical values of the oblate and prolate spheroidal wave-functions (recently computed at NRL by Hanish et al.) in the infinite series solutions of Nimura and Watanabe. For the oblate case, 0.1⩽h⩽12.0 and 0⩽α⩽0.8944 (Nimura and Watanabe gave results for 0.01⩽h⩽4.0 and α=0). For the prolate case, 0.1⩽h⩽10.0 and 1.005⩽α⩽10.0 (Nimura and Watanabe gave results for 0.06⩽h⩽6.0 and α=1.8). These calculations provide a compilation of numerical values for impedance and nearfield pressure in ranges of h, α, and radiator size, heretofore never obtained from an exact infinite-series solution.