It is possible for the mass to have infinite density at the point known as, the black hole.
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With respect to the expert answer given above. It is by no means proven that "mass can not exist without volume" this is because mass and energy are equivalent. Applying traditional logic and physics to a description of a singularity is not possible at the moment.
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You are very correct. Mass and energy are equivalent. Then who told you that the energy does not occupy the space? I want you to remind that the light is hold back by the black holes due to gravitational force. The light rays get bent when passing near to black hole. That means the light rays has got the mass. It is our psychological reaction to neglect very minute particles as having zero mass and very little space occupied as zero space. (Dr. Ashok Deshmukh.)
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It is mentioned in the Wikipedia, in chapter on Big Bang that extrapolation of the expansion of the of the Universe backward in time using general relativity yields an infinite density and temperature at finite time in the past. Let us discuss the practicality of the statement. The mass of the sun is finite. The mass of your galaxy can be deducted approximately. Which is again the finite figure. You can deduct the mass of the universe. Which is again the finite figure. Then the point volume of the universe may in mm, micrometer, nanometre or femtometre. Which is again the finite figure. So as per the formula of the mass upon the volume, the density is again the finite figure. Although the figure is extremely high. But it is finite and not infinite. So the mass can not exist with out the volume. So it is not possible for the mass to have infinite density. This explanation is given to defy the mass with infinite density. The mass can probably be pressed to next quantum only. So the mass can be pressed to between 100,000 to 1,000,000 times only to that of density of the nucleus. This figure is purely a guess work and there is no much logic behind this figure. It is not possible to compress the mass beyond this next quantum figure. The mass is disfigured at this stage. It lose the shape as a proton, electron and neutron at this stage. Then it can tolerate the pressure to extreme level.
No, a black hole does not have infinite mass. Black holes have a finite mass, which is concentrated in a small volume, leading to their intense gravitational pull and the formation of an event horizon from which not even light can escape.
Infinite density is a theoretical concept that describes a point of extreme compactness where the mass of an object is compressed into an infinitely small volume. It is often associated with black holes, where gravity is so strong that it causes matter to collapse into a singularity with infinite density at the center.
Density cannot be calculated with just the volume information. Density is defined as mass per unit volume, so you would also need the mass of the substance in order to calculate density using the formula: density = mass/volume.
Since Density=Volume/Mass, and the mass increases as the volume increases they will always have the same density no matter how big it is.
To calculate the density of a cylinder, you would divide the mass of the cylinder by its volume. The equation for density is density = mass/volume. Plug in the given values for mass and volume to find the density.