how much is total volume of a n-dimensional sphere with radius of R?

Answer 1

For even n, the volume is

(pi^(n/2)) (r^n) / ((n/2)!)

For odd n, the volume is

(2^(n+1)/2) (pi^((n-1)/2) (r^n) / (n!!)

Note the odd fact that for a unit radius, the hypersphere of maximum volume is the 5 dimensional sphere. Thereafter it's progressively smaller.

Answer 2

The formula for the volume of any sphere is 4/3 pi (r)^3 Sorry, that's the best I could do within the limitations of my keyboard,

Answer 3

Do you mean n-volume, or three-dimensional volume? They're not the same measurement.