due to the nature of black holes(whether they are high energy or high mass) it is not easily determinable how big a black hole is volume wise. most theories point to a Singularity Principle which means all of the mass within a black hole is packed into an extremely high density point which cannot be given a volume due to its extremely small size.
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The largest black hole found so far (as of December 2011) is over 300 million light years away, located within the Coma constellation. It is in the centre of a galaxy known as NGC 4889, it is 10 billion times the size of our sun and 21 billion times the mass of the sun.
Current calculations indicate the largest known black hole to be the central black hole of a giant elliptical galaxy (Holmberg 15A) in constellation Cetus. The core supermassive black hole weighs in around 170 billion times the mass of our Sun which makes its radius about 500 billion kilometers, over 80 times the distance of the Sun to Pluto.
A supermassive black hole. Because scientists think one is in the center of every black hole. It has 1,000,000 times the strength of a stellar black hole.
OJ 287 is one of the best known. It is a supermassive black hole with a mass of 18 billion Suns.
It seems that the largest known black holes have a mass of approximately 20 billion solar masses. Such black holes are found in the center of large galaxies.
The most relevant quantity is the black hole's mass. Note that the black hole's diameter (the diameter of the event horizon, really) is directly proportional to its mass. The largest galactic black holes known seem to be around 20 billion solar masses. Check the Wikipedia "List of most massive black holes" for more details. Note that the mass of some of these black holes is not very well-known.
Observations of the largest known star, currently UY Scuti, indicate it has no companion; so it is almost certainly not being eaten by a black hole, so to speak.
The supermassive black hole that hosts the galaxy NGC 1277, in the constellation Perseus, is currently the largest black hole in our visible universe with a mass equivalent to 17 billion suns. In 2012, astronomers have discovered this small galaxy about 250 million light-years from Earth.
Your use of "the" black hole seems to indicate that you are thinking about one specific black hole. Please clarify which one - there are several known black holes, discovered at different times.
There is no theoretical limit to the MASS of a black hole. The largest known black holes have a mass in excess of a billion solar masses... so far. In the distant future, you can expect them to continue growing.The DIAMETER or the RADIUS of a black hole is directly proportional to the black hole's mass; the radius would be about 3.0 kilometers for every solar mass. The diameter, of course, is twice as much. Thus, a black hole of 10 billion solar masses would have a radius of 30 billion kilometers... about 200 AU.