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elpaw

volume of a ten dimensional unit hypersphere?

whats that?

Have a look at this if you are interested:

http://www.mathreference.com/ca-int,hsp.html

http://www.mathreference.com/ca-int,hsp.html

elpaw

the actual hypervolume. its meant to be some fraction of pi, but i cant find this fraction anywhere.

But I thought 2776 helped you?

elpaw

he did but he gave the decimal approximation.

whats wrong with that?

elpaw

he did but he gave the decimal approximation.

Try:

http://mathworld.wolfram.com/Hypersphere.html

http://matcmadison.edu/alehnen/sphere/hypers.htm

Nylex

Decimals aren't exact, whereas fractions are..

well obviously, but i don't understand why a decimal value isn't sufficient in his case.

2776

However the decimal approx. Would have given him an indication of whether the answer he got was correct or not.

Exactly, that was my point, i thought the decimal answer would have been of more use.

elpaw

thanks for the help. im not getting the answer, my friend is. it's his computing project, not mine (mine's on radioactivity).

just wanted to ask elpaw, when u say computing project, how do u mean exactly?

just curious as to what the project is about.

elpaw

does anyone know the volume of a ten dimensional unit hypersphere? my mate is trying to work it out for a omputing project but he keeps on getting silly answers

Sounds like an integration problem. My advice is to start with a one dimensional circle (two points) and then rotate that circle in another dimension to get a circle of the next dimension (thus if you rotate a 1D cricle you get a 2D circle. Rotate this circle you get a sphere, rotate the sphere you get a hypersphere etc etc )

The nD volume of each nD sphere you find using volumes of rotation. Think this should work.

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