A solid nonconducting sphere has a radius of 50.0 cm. It has a uniform charge density of 3.00×10-3 C/m3. What is the strength of the electric field (a) at a distance of 2.00 m from the center of the sphere? (b) at the surface of the sphere? (c) at a distance of 25.0 cm from the center of the sphere? (Hint: use the shell theorem, which states that when calculating an electrostatic force or field outside a sphere with a uniform charge, the sphere can be treated as though all of its charge resides at the center.)