Consider a tilted pyramid with a base consisting of a 3 x 3 square, height 5, and apex located directly above one of the corners of the base, instead of centred above the base (hence 'tilted"). Calculate the volume of this pyramid using integration and horizontal slices. (6) Calculate the volume of the surface of revolution formed by rotating f(x) = IT, I E [1, 27] around the x axis. (4) Describe three ways of using slices or shells to setup a volume integral to calculate the volume of a sphere. (You do not need to actually calculate anything here, just describe the setup. You do not need to write down, let alone calculate, any integrals.) (4)