How can you measure the mean density of a neutron star

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To measure the mean density of a neutron star with a known mass of three solar masses, one can estimate its radius, typically around 12 kilometers. Using the formula for density, which is mass divided by volume, the volume can be calculated assuming a spherical shape. While the radius may vary among neutron stars, this estimate provides a reasonable basis for calculations. The mean density can then be derived from these parameters, highlighting the extreme density characteristics of neutron stars. Accurate measurements of mass and radius are crucial for understanding their properties.
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How can you measure the mean density of a neutron star if your only told its mass is three times that of the Sun?
 
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You know it's mass, but you can also estimate the radius of a neutron star.
 


You can use an estimate for the size. Neutron stars are around 12km in radius. Not every neutron star is this radius, of course, but at least you can get an estimate.
 

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