I don't know if this should be in Geometry or in Calculus since I've since quite a lot of derivations using calculus.
I've always wondered how the Vol. of the Sphere = (4/3)(pi)(r^3) [I'm sorry I put 4(pi)(r^2)]
So can I use steradians to prove it?
So here's my way:
The volume of a cone (I'm thinking that a steradian is a cone with a curved base) = 1/3(Are of the Base)(height)
And there are 4 steradians in a sphere so
=(4/3)(pi)(r^2)(r) since the vertex of a steradian is at the center of the circle
Is this correct?