The effect of stimulated Brillouin scattering (SBS) in transparent spherical microparticles is considered theoretically. The resonance properties of particles, namely, Q-factor and the resonance contour width, are found to influence significantly the threshold characteristics of the SBS process. We have made numerical calculations of the overlapping coefficient of interacting optical pumping fields and the SBS inside a particle determining the magnitude of the SBS threshold intensity. The magnitude of the coefficient is shown to be dependent on the accuracy of correspondence of interacting field space profiles.