# Triple integral to find the volume

## Homework Statement

use a triple integral to find the volume of the region that is common to the interiors of z^2 +y^2 + z^2 = 1 and x^2 + z^2 = 1

## Homework Equations

Would I just calculate the are of the disc? I set up a triple integral as inte [0 to 1] 2nd inte [0 to sqrt(1-z^2)] 3rd inte [0 to 0] dy dx dz
That doesnt really work though since after the first integration it would just be 0 (??)
How would you set up this triple integral? (I might just not be understanding what the region is??)