Finding volume using triple integral

[woogirl14]

Homework Statement

I need to find the volume of a solid formed by the following equations:
x^2+y^2 > 1
x^2+z^2 = 1
x^2 + y^2 =1

The Attempt at a Solution

I know that it is a triple integral and the integrand is 1.
I also know that I need to use dzrdrd$$\theta$$.

I believe that you need two integrals, one with z going from 0 to sqrt (1-costheta^2) and the other with z going from 0 to sqrt (1-sintheta^2). I only want to find the volume in the first quadrant then I will multiply by 8.

 

[mikeleeds]

Have you been told you need to use $$dz rd rd\theta$$ ?

If so then rethink you co-ordinate system when integrating, and look at your functions and see if you can convert them into any other coordinate system you know of