A hollow conducting sphere with an outer radius of 0254m

Question

A hollow, conducting sphere with an outer radius of 0.254m and an inner radius of 0.199m has a uniform surface charge density of +6.18  × 10⁶ C/m². A charge of -0.530 µC is now introduced into the cavity inside the sphere.

Part A: What is the new charge density on the outside of the sphere?

Part B: Calculate the strength of the electric field just outside the sphere.

Part C: What is the electric flux through a spherical surface just inside the inner surface of the sphere?

Show all work, use additional paper if necessary.