Answer:
The volume charge density of the sphere is [tex]1.58\times 10^{-13}\ C/m^3[/tex]
Explanation:
It is given that,
Charge on sphere, [tex]q = -353\ e =-353\times 1.6\times 10^{-19}\ C=-5.64\times 10^{-17}\ C[/tex]
Radius of sphere, r = 4.4 cm = 0.044 m
We need to find the volume charge density in that sphere. It is given by total charge divided by total volume of the sphere.
[tex]\rho=\dfrac{q}{V}[/tex]
[tex]\rho=\dfrac{5.64\times 10^{-17}\ C}{\dfrac{4}{3}\pi (0.044\ m)^3}[/tex]
[tex]\rho=1.58\times 10^{-13}\ C/m^3[/tex]
So, the volume charge density of the sphere is [tex]1.58\times 10^{-13}\ C/m^3[/tex]. Hence, this is the required solution.