For a non-conducting sphere with a radius of 5cm which contains a uniform density of rhov= 4 c/m3, find the electric field inside and outside of the structure as a function of radius.
a) Inside the sphere (r < 5cm): E = (rhov/3ε0) * r
b) Outside the sphere (r > 5cm): E = (4/3) * (rhov/ε0) * 5cm
c) Inside the sphere (r < 5cm): E = (rhov/3ε0) * (r/5)³
d) Outside the sphere (r > 5cm): E = (4/3) * (rhov/ε0) * (5cm/r)²