A spherical shell has an inner radius of 3.7 cm and an outer radius of 4.5 cm. If charge is distributed uniformly throughout the shell with a volume density of 6.1 × 10−4 C/m 3 the total charge is:

The total charge of the shell is about 1.034 10^{-7} Coulombs

In order to find the actual volume of the spherical shell (V_s), we estimate the volume of the sphere with larger radius R, and subtract from it the volume of the sphere with smaller radius r:

Now, in order to find the shell’s total charge, we multiply its volume times the volume charge density of the shell (6.1\,\,10^{-4}\,\frac{C}{m^3}):