# When three cylinders intersect

Calculus Level 3

Find the volume of the solid of intersection of three cylinders defined by the following equations:

$$x^{2}+z^{2}=1$$;
$$y^{2}+z^{2}=1$$;
$$x^{2}+y^{2}=1$$.

###### Problem Source: Calculus(10e) by Ron Larson.
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