Rigid Body Dynamics!

[Zenshin]

Hello! Please, I´m having a hard time dealing with Classical Mechanics, specially Rigid Body Dynamics... Please, help me solve this problem so I can at least figure out some basics: I have to calculate the main moments of inertia(I think those are Ixx, Iyy and Izz?) of a cone (height h and base radius a) around it´s top vertice "v"... Also, what are the products of inertia? How can I find a h/a ratio in which any axis passing through "v" is a principal axis?

Thanks in advance!