Finding the volume of a 4d sphere @blackpenredpen
Finding the volume of a 4d sphere  @blackpenredpen
Uploaded February 2026 | Updated September 2026, 2 weeks ago
We will find the volume of a 4d sphere using a quadruple integral! This is called a hypersphere and has the equation x^2+y^2+z^2+w^2=R^2. And yes, there's also the hyperspherical coordinates that we could use, but I will do that in a future video. Read more on en.wikipedia.org/wiki/N-sphere

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Finding the "volume" of a 4d sphere

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