  We compute the CM volume, that is the degree of the descended CM line bundle,
of the Fano K-moduli space of Quartic del Pezzo in any dimension, and of the
K-moduli space of the log Fano hyperplane arrangements of dimension one and
two. Furthermore, we relate these volumes to the Weil-Petersson volumes by
extending the notion of Weil-Petersson metric in the log case.
