2. The electric field in some region is found to be E = RkR³ (V/m) in spherical coordinates (R, 0, 0). (a) Find the charge density p, in the region. (b) Find the total charge in a sphere of radius R centered at the origin. Find it in two ways. One is to integrate the charge density over the spherical volume. The second way is to apply Gauss's law (in integral form).

Fig: 1