Black holes are fascinating objects with extraordinary properties, but they do not have a well-defined volume in the conventional sense. The concept of volume becomes problematic when dealing with black holes because they are characterized by an extremely dense and compact mass, which results in a gravitational singularity at their core.
According to our current understanding of physics, black holes are thought to have a point-like singularity at their center, where the entire mass is concentrated into a single infinitesimally small and dense point. This singularity is surrounded by an event horizon, which is the boundary beyond which nothing, not even light, can escape the gravitational pull of the black hole.
The event horizon itself can be thought of as a spherical region surrounding the singularity, and it is often referred to as the "surface" of the black hole. However, it's important to note that the event horizon is not a physical surface like the surface of a solid object; rather, it represents the boundary where the gravitational effects become significant.
Therefore, black holes are described more in terms of their mass, charge, and angular momentum, rather than a volume in the traditional sense. The mass of a black hole determines its gravitational pull and the size of its event horizon, while the singularity at its core is considered a point of infinite density and zero volume according to our current understanding of physics.