I have two problems that are pretty similar:

1.Use a triple integral to find the volume of the solid bound by the parabolic cylinder and the planes , and .

I have been having issues finding the x bounds on this integral, but this is what I have tried: I set and solved for x, which gave me and

I then had the integral:

I was just curious if this is right or not since I have been trouble with figuring out the bounds.

2.

The second question is this:

Find the volume of the solid enclosed by the paraboloids and

The bounds for z are there, but to find them for y and x could I set z = 0 and solve? So that gives bounds for x and y that are 0 and then upper bounds for x and y that are .

And so the integral would be:

Thanks ahead of time for the help.