The ability of optical Whispering Gallery Mode (WGM) resonators to store energy in a very small volume for a long time enables their use in practical applications as low threshold lasers, high sensitivity sensors and tunable add-drop filters. In this paper, we express in detail the tapered fiber asymmetric coupling mechanism to multimode microsphere resonators in order to selectively-excite or collect WGMs. It is shown that due to close effective refractive indices of degenerate spherical WGMs, depending on the amount of phase-matching and overlap of fiber and resonator modes, a combination of WGMs with certain intrinsic losses are excited. By precisely designing the taper dimensions, critical-coupling to one or a group of modes can be satisfied. This paper, provides a general figure of merit for designing tapercoupled microresonators which can be employed in nonlinear optics and lasers in which the intra-cavity field distribution determines the characteristics of the device.