How does one calculate the volume of a spherical sector of a 4-sphere?
In 3-dimensions, this is $V=\frac{2 \pi r^2 h}{3}$, where $h$ denotes the height of the cap.
2026-03-31 22:51:43.1774997503
volume of a spherical sector of a 4-sphere
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This paper
reaches an equation for the volume of a hyperspherical cap in $\mathbb{R}^2$:
See the paper to interpret the notation.