# Volume of a sphere in n-dimension Calculator

## Calculates the volume and surface area of a sphere in n-dimensional space given the radius.

 dimension n n=1,2,3,... radius r 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit volume V surface area S
 n=1: V=2r (diameter), S=2 n=2: V=πr^2 (circle\ area), S=2πr (circumference)n=3: V=4/3*πr^3 (volume), S=4πr^2 (surface area)A sphere in 4-dimensional space or more is used by statistical mechanics, quantum mechanics, etc. $\normal Sphere\ in\ n-dimensional\ space\\(1)\ volume:\hspace{50} V={\large\frac{\pi^{\normal\frac{n}{2}}r^n}{\Gamma({\large\frac{n}{2}}+1)}}\\(2)\ surface\ area:\hspace{10} S={\large\frac{dV}{dr}}={\large\frac{2\pi^{\normal\frac{n}{2}}r^{n-1}}{\Gamma({\large\frac{n}{2}})}}\\$

Volume of a sphere in n-dimension
 [1-5] /5 Disp-Num5103050100200
[1]  2015/10/16 07:40   Female / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Writing my own code that will be able to calculate this. Checking my numerical results with this :)
[2]  2014/11/07 11:21   Male / 60 years old level or over / Elementary school/ Junior high-school student / Very /
Purpose of use
I was learning my alphabet today. and this helped me fill in the sphere for the full-stop
Comment/Request
[3]  2014/09/21 01:06   Male / 60 years old level or over / An engineer / Very /
Purpose of use
Keeping my mind sharp at 78 years old
[4]  2013/04/25 02:32   Male / 50 years old level / An office worker / A public employee / Very /
Purpose of use
Calculate the dimensions of a hypothetical pile of soil
[5]  2009/10/05 16:15   Male / 50 level / Self-employed people / Very /
Comment/Request
Excellent Please include other formulae also

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