Question

Whats is the Volume for a four dimensional sphere

Answer 1

\[\huge V _{n}(R)=C _{n}R ^{n}\]

Answer 2

\[V_{2D-sphere}=πr^2\]
\[V_{3D-sphere}= {4\over3} πr^3\]
\[V_{3D-sphere}=? \]

Answer 3

ok what does C_n stand for?
circumference?

Answer 4

For "even" n
\[\huge C _{n}=\frac{\pi ^{\frac{n}{2}}}{(\frac{n}{2})!}\]

Answer 5

\[C_2=2πr\]\[C_3=4πr^2\]\[C_4={π^2\over2!}\]

Answer 6

i can not get the formula to work for 2D

Answer 7

\[V _{4}=\frac{1}{2}\pi ^{2} r ^{4}\]

Answer 8

http://en.wikipedia.org/wiki/N-sphere#Volume_and_surface_area

Answer 9

aha! the formula has the gamma function
\[\huge \Gamma(n)\]