Volume of a Solid using Triple Integrals

[jualin]

Homework Statement

Use a triple integral to find the volume of the solid enclosed by the cylinder z=y² and the planes x=0, x=6, and z=16. Set up the integral in rectangular coordinates and work it out in any coordinates.

Homework Equations

The Attempt at a Solution

I set up the triple integral using these orders of integration:

D = { (x,y,z) | 0 < x < 6, -4 < y < 4, y² < z < 16 }

And I obtained an answer of 512. I just wanted to make sure that I did all the work correctly, and that someone more experienced could say if it is correct.
Thank you!

 

[LCKurtz]

Your limits look good so if you didn't make any arithmetic mistakes it should be correct.

 

[jualin]

Your limits look good so if you didn't make any arithmetic mistakes it should be correct.

Thank you very much, Mr Kurtz!