Compute all parts of given problem:
Problem: A hollow, conducting sphere with an outer radius of 0.250m and an inner radius of 0.190m has a uniform surface charge density of +6.97 × 106 C/m2. A charge of -0.830 µC is now introduced into the cavity inside the sphere.
Part I: What is the new charge density on the outside of the sphere?
Part II: Calculate the strength of the electric field just outside the sphere.
Part III: What is the electric flux through a spherical surface just inside the inner surface of the sphere?
Please show me how you solve the all parts of above problem.