Volume of the set of two bodies

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I have been given two bodys:

  1. $(x^2+y^2) < R^2(x^2-y^2)$

  2. $x^2+y^2+z^2 < R^2$

Now I am supposed to calculate the volume of the set of the two bodies. I can see that the second body is a sphere, but I have no idea what the first body could be. Any ideas how to do it?

Thank you very much!