singularity of a black hole

[kurious]

If a singularity is a point of infinite mass-density,
this could mean there is a finite mass in zero volume or
an infinite mass in a non-zero volume.Since a black hole does not have
an infinite mass, does this mean it cannot have a singularity?

[mathman]

The singularity of a black hole is all its mass at one point (general relativity). However, quantum theory won't allow this, so nobody really knows what's going on.