# Math Help - Triple Integral

1. ## Triple Integral

Hi,

My goal is to set up a triple integral that representshe the volume under the plane $z = 6$, and inside the paraboloid $z = x^2 + y^2$. I attempted to do this using cylindrical coodinates, and this is what I got:

$
\int_0^{2\pi} \int_0^{\sqrt{6}}\int_{r^2}^{6} 1dzrdrd\theta
$

does it this look about right?
Thanks for any help
james

2. Originally Posted by james121515
Hi,

My goal is to set up a triple integral that representshe the volume under the plane $z = 6$, and inside the paraboloid $z = x^2 + y^2$. I attempted to do this using cylindrical coodinates, and this is what I got:

$
\int_0^{2\pi} \int_0^{\sqrt{6}}\int_{r^2}^{6} 1dzrdrd\theta
$

does it this look about right?
Thanks for any help
james
Yes, that is correct.