The Schwarzschild radius of a black hole depends on the mass and density of the black hole because volume is the space that an object occupies.
Volume is defined as the amount of space occupied by an object. It can be measured in cubic units. If the black hole has more volume then it has more radius and vice versa.
So we can conclude that the Schwarzschild radius of a black hole depends on the mass and density of the black hole because volume is the space that an object occupies.
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