Volume bounded by four surfaces. Need the solution as a guide.

[gikiian]

Homework Statement

Find the volume bounded by the following surfaces:
z = 2(x^{2}+y^{2})
z = 18
y = \frac{1}{\sqrt{x}}
y = -\frac{1}{\sqrt{x}}

x\geq0

The Attempt at a Solution

I have no Idea how to attempt it! I mean, I will, somehow. But want to know a straight-forward way. Would you use the Cartesian or the polar co-ordinates?

Thanks.

 

[mikeleeds]

I would begin by drawing a picture, perhaps several if you struggle thinking in 3D, and then try to work out what limits you're going to use in each direction.