Derive the formula for the 4-D volume of a hypersphere.
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.
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Posted by CC
on 2003-12-28 05:07:09 |