“…(a) If each singularity (x i ∈ X i ) lives on a Gromov-Hausdorff limit of Kähler-Einstein Fano manifolds, then by [LX17a, Corollary 5.7] we know that vol(x i , X i ) = n n i i Θ(x i , X i ) where Θ(·, ·) is the volume density of a singularity (see e.g. [HS17,SS17]). It is well known that Θ((x 1 , x 2 ), X 1 × X 2 ) = Θ(x 1 , X 1 ) · Θ(x 2 , X 2 ), so Conjecture 4.7 holds in this case.…”