Find the volume of a 4-dimensional sphere with radius 4.

Question

kc_kennylau · Answer

What do you mean by volume? Note that the term surface area is used for 3-dimensional objects.

btaylor · Answer

I just have a problem that asks for the volume of a 4-dimensional sphere.

kc_kennylau · Answer

Okay, I'll assume that it's asking for the 4-D measurement of the 4-D object

kc_kennylau · Answer

Is this for calculus?

btaylor · Answer

no, it was from a math contest. I know the answer but I want to figure out how you get it.

ipwnbunnies · Answer

I would take the equation of the sphere
f(x,y,z) = x^2 + y^2 + z^2 
And triple integrate it.

kc_kennylau · Answer

kc_kennylau · Answer

btaylor · Answer

ok, I think I understand it now. Thanks!

kc_kennylau · Answer

No problem