Final answer:
The density of the neutron star is 9.66 x 10^12 kg/m^3.
Step-by-step explanation:
The density of the neutron star can be found using the formula:
Density = Mass / Volume
Given that the radius of the neutron star is 17 km and the mass is 4.0 * 10^30 kg, we can find the volume using the formula for the volume of a sphere:
Volume = (4/3) * π * r^3
Substituting the values into the formulas, we get:
Volume = (4/3) * 3.14 * (17 * 10^3)^3
Volume = 4.14 * 10^8 km^3
Converting the volume to m^3:
Volume = 4.14 * 10^8 * (10^3)^3 m^3
Volume = 4.14 * 10^8 * 10^9 m^3
Volume = 4.14 * 10^17 m^3
Now we can calculate the density:
Density = 4.0 * 10^30 kg / 4.14 * 10^17 m^3
Density = 9.66 * 10^12 kg/m^3