Answer:
16.8107912662 km
Explanation:
M = Mass of neutron star = [tex]10\times 1.99\times 10^{30}=1.99\times 10^{31}\ kg[/tex]
R = Radius of neutron star
[tex]\rho[/tex] = Density of a nucleus = [tex]10^{18}\ kg/m^3[/tex] (general value)
Density is given by
[tex]\rho=\dfrac{M}{\dfrac{4}{3}\pi R^3}\\\Rightarrow R^3=\dfrac{M}{\dfrac{4}{3}\pi \rho}\\\Rightarrow R=(\dfrac{1.99\times 10^{31}}{\dfrac{4}{3}\pi\times 10^{18}})^{\dfrac{1}{3}}\\\Rightarrow R=16810.7912662\ m=16.8107912662\ km[/tex]
The radius of the neutron star is 16.8107912662 km
