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/m3 the total charge is

1.31*10^-9 C

Explanation:

Total charge = volume density * volume of sphere

Volume density = 6.1*10^-4 C/m^3

Volume of sphere = 4π/3 * (outer radius - inner radius) ^3 = 4*3.142/3 * (4.5 - 3.7) ^3 = 4.189*0.8^3 = 2.145 cm^3 = 2.145*10^-6 m^3

Total charge = 6.1*10^-4 * 2.145*10^-6 = 1.31*10^-9 C