Suppose that $R$ is a simple connected region in $\mathbb{R}^3$, enclosing a volume $V$. I am looking at ways to approximate $V$ using spheroidal volume elements. The traditional approach is to use cuboids for volume elements, and then to determine a Riemann sum leading to an iterated integral. I'm looking for literature where this sort of idea has been explored. I would also like to know whether it makes sense to approximate a spheroid by a cuboid.
2026-04-01 06:02:03.1775023323
approximating a sphere
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