Can you draw them first? That helps a lot I think. Just use whatever you have available to draw it. If you have Mathematica or some other software that's even better. The plot below is the first one. It's pretty clear what has to be done right:
It's the integral of the paraboloid over that little blue rectangle in the x-y plane. So x goes from 0 to 3, y goes from 0 to 1, and z goes from the blue to the top of the paraboloid. Can you now convert this into a triple integral?