Answer:
The total charge Q of the sphere is [tex]2.094\times10^{-10}\ C[/tex].
Explanation:
Given that,
Radius = 5 cm
Charge density [tex]J= 400\ nC/m^3[/tex]
We need to calculate the total charge Q of the sphere
Using formula of charge
[tex]q=\rho V[/tex]
Where, [tex]\rho[/tex] = charge density
V = volume
Put the value into the formula
[tex]q=\rho\times(\dfrac{4}{3}\pi r^3)[/tex]
Put the value into the formula
[tex]q=\dfrac{4}{3}\times\pi\times400\times10^{-9}\times(5\times10^{-2})^3[/tex]
[tex]q=2.094\times10^{-10}\ C[/tex]
Hence, The total charge Q of the sphere is [tex]2.094\times10^{-10}\ C[/tex].