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Find the volume V inside both the sphere $x^2 + y^2 + z^2 =1$ and the cone $z = \sqrt{x^2 + y^2}$ My attempt: My attempt: I graphed the cone inside the sphere as follows. But I don't understand how to use the change of variables technique here to find the required volume. My answer without using integrals is volume of the cone + volume of the spherical cap = Is this answer correct? If correct, how to derive this answer using integration technique?