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Spheres in 4-D (Posted on 2003-12-20) Difficulty: 5 of 5
Derive the formula for the 4-D volume of a hypersphere.

See The Solution Submitted by Brian Smith    
Rating: 3.2000 (5 votes)

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Answer is Calculus | Comment 5 of 6 |
in 2-D the area of a sphere is 4 * pi * r^2
in 3-D the volume is just the integral of the area which is 4/3 * pi * r^3
so in 4-D the "hypervolume" would be the integral again so it would be 1/3 * pi * r^4

waala, whats with these sequences, maybe the infinte sum of those equals to the equation just found.
  Posted by CC on 2003-12-28 05:07:09
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