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The resonant light scattering by dielectric particles may be largely suppressed at special states called scattering dark states. In the steady-state scattering, the electromagnetic field associated with these states is confined within the scattering particle and cannot be radiated out. An anapole as a steady, nonradiative toroidal electromagnetic mode with zero contribution to the far-field scattering pattern was introduced by Ya. Zeldovich in 1957 [1]. In this work we have considered the transient processes of pumping and radiating out of the anapole in dielectric particle during the resonant Mie scattering and show that the unsteadiness of the scattering process changes the anapole properties dramatically, making it a usual radiating excitation which can exchange electromagnetic energy with the environment.