1. The problem statement, all variables and given/known data We are asked to calculate the electric field inside of the a spherical insulating shell with an inner radius of 10cm and an outer radius of 20 cm and a charge density of 80 uC/M^3. Additionally, a +8uC charge is added to the center of the shell. 2. Relevant equations Gauss's Law ∫EdS=Qin/ε0 and Q=ρV And the volume of a shell is V=4/3π(R3-r3) 3. The attempt at a solution So first I want to find the amount of charge in the shell, Q=(80 uC/M3)*(4/3π(.23-.13) = 2.3 uC Now I need to use Guass's Law. I found the E field inside the shell up to the surface to be E=(9.0*109 * 8.0*10-6)/r2 Which is 7.2*104/r2 So now my Efield in the shell is going to be that added to whatever the Efield at the point in the shell we are at is. so the shell should be ∫Eds=(2.3*10^-6)/ε0 but this is where I get stuck.