I have to calculate the volume inside the area of $x^\frac{1}{3}+y^\frac{1}{3}+z^\frac{1}{3}=a^\frac{1}{3}$. I figured i should replace x, y and z with something like the spherical coordinates but not quite. My idea was to change them with the same as they are but then to the power of $\frac{1}{6}$ and recalculate the jacobian from here. Is this the good way to go or am I doing something wrong?
2026-03-27 00:10:07.1774570207
Calculate the volume enclosed by $x^\frac{1}{3}+y^\frac{1}{3}+z^\frac{1}{3}=a^\frac{1}{3}$?
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