If you dig a hole and toss something in you don't really consider the thing part of the hole (it's in the hole, but it is not the hole) but with the "black hole

If you dig a hole and toss something in you don't really consider the thing part of the hole (it's in the hole, but it is not the hole) but with the "black hole" the meaning of "hole" is "the volume enclosed by the event horizon plus all the stuff inside it".