Recall that ** density** is the ratio of the mass and volume of an object:

$\overline{){\mathbf{density}}{\mathbf{=}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

Also, the ** volume of a sphere** is given by:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{4}}{\mathbf{3}}{{\mathbf{\pi r}}}^{{\mathbf{3}}}}$

$\mathbf{V}\mathbf{=}\frac{\mathbf{4}}{\mathbf{3}}\mathbf{\pi}{\mathbf{(}\mathbf{0}\mathbf{.}\mathbf{16}\mathbf{}\overline{)\mathbf{mm}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\mathbf{cm}}{\mathbf{10}\mathbf{}\overline{)\mathbf{mm}}}\mathbf{)}}^{\mathbf{3}}$

**V = 1.716 x 10 ^{-5} cm^{3}**

Neutron stars are believed to be composed of solid nuclear matter, primarily neutrons.

Assuming that a neutron star has the same density as a neutron (density = 4.0×10^{14} g/cm^{3}), calculate the mass (in kg) of a small piece of a neutron star the size of a spherical pebble with a radius of 0.16 mm .

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