Ok, here are a couple of the other problems i need help with:

A cylindrical hole is drilled through the center of a sphere of radius R. Use the method of cylindrical shells to find the volume of the remaining solid, given that the solid is 6 cm high.

Find the volume of the solid generated by revolving about the line x=-1, the region bounded by the curves y=-x^2 +4x -3 and y=0