What is the volume of this n-dimensional hypersphere?

Question

An n-dimensional hypersphere of radius r has a surface content which is 15π/8 times the volume of an (n-1)-dimensional hypersphere of the same radius. What is its volume?

and what is n?......

Answer 1

i think n=6..
yes this can be done..if you know the formula..
of volume and surface arae of a hypersphere and also the form of gamma fucntion..
hope you can do it yourself..i saw these two links and based on the formula given for volume and surface ares and the gamma fucntion expression its evident that n=6.
Hope you can figure it out yourself.
volume= pi^3/6 (radius =1 here)