Density:

$\overline{){\mathbf{\rho}}{\mathbf{=}}\frac{\mathbf{m}}{\mathbf{V}}}$

Volume, V of a sphere:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{4}}{\mathbf{3}}{\mathbf{\pi}}{{\mathbf{r}}}^{{\mathbf{2}}}}$

**(a)**

For the sun:

m = 1.99 × 10^{30} kg, r = 6.96 × 10^{8} m

Volume, V of the sun:

V = (4/3)(π)(6.96 × 10^{8})^{3} = 1.4123 × 10^{27} m^{3 }

(a) What is the average density of the sun?

(b) What is the average density of a neutron star that has the same mass as the sun but a radius of only 20.0 km?

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