Hello dear.
As you can see in my profile, I have all skills for to do your homework. I have a very high level in calculus since I have a nuclear science degree. I already check all the questions and it will take a day for to gives you all expresions of the integrals for the volume. Just a thing, In the description say that it is not needed to solve the volume integral, but in both PDF the last excercise say that you have to calculate the volume. It is simple for me. Let me do the job.