Analytical solutions of the absorbed dose rate integral for a spherically symmetric Gaussian puff were developed for both linear and Berger buildup approximations. Mathematically simpler solutions were also developed for the absorbed dose rate at the center of the puff. These solutions are valid for a ground-level receptor and both ground-level and elevated spherical puffs. Graphical solutions allow estimates of the ratio of the absorbed dose rate due to a puff to the absorbed dose rate for an infinite cloud with concentration equal to the maximum concentration at the center of the puff. Calculations also give the ratio of the absorbed dose rate integral due to photons from Compton scattering and secondary photons, assuming Berger buildup, to the absorbed dose rate integral using linear buildup for ranges of the Berger b parameter reported for air.