A\" m Sphere of radius a has a total charge +3Q uniformly distributed over its volume, as shown below. The sphere is surrounded by a conducting spherical shell of inner radius b, outer radius r, and teltat Charge so on its two surfaces. Insulator Conductor (a) Using Gauss' Law explicitly (not simply plugging variables into a result derived in class), nd the magnitude and direction of the electric eld at a distance r = a/ 6 from the center of the insulating sphere. Express your answer in terms of Q, a, and any other relevant constants. (l 3 points) (b) Specify the direction of the electric eld in each of the following regions: (i) a c. Answer "zero" for any region in which no electric eld exists. (6 points) (c) Determine the induced charge on the inner and outer surfaces of the conducting shell. Express your answers, with correct sign, in terms of Q. (6 points)