# Problem: (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?

###### FREE Expert Solution

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 × 1030 kg, r = 6.96 × 108 m

Volume, V of the sun:

V = (4/3)(π)(6.96 × 108)3 = 1.4123 × 1027 m

###### Problem Details

(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?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Solving Density Problems concept. You can view video lessons to learn Solving Density Problems. Or if you need more Solving Density Problems practice, you can also practice Solving Density Problems practice problems.