2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36508We study the averaging problem from a point of view of variation of spatial volume $V$. We show that in the space of spherically symmetric dust solutions which are regular on the spatial manifold $S^3$ the variation $δV$ vanishes at the Friedmann-Lemaitre-Robertson-Walker (FLRW) solution in an appropriate sense, which supports the validity of the FLRW solution as the averaged solution. We also present the second variation $δ^2 V$, giving the leading effect of the deviation from the FLRW solution.15 pages with 9 figures (REVTeX with epsf macro package), Minor correctionsGeneral Relativity and Quantum Cosmologytext