Since it is in the first octant, if we let

be the angle formed in the xy plane, then its limits are simply

.
The radius is a constant of

so we integrate from [tex0 \leq \rho \leq \sqrt 5[/tex]
The yz/xz plane doesn't go the full 90 degrees. Instead, it goes to the

plane which means that it forms a triangle of hypotenuse

and an opposite leg of

. This produces an angle of

so our limits for

We are just integrating a constant of 1, then we get: