- #1
gnome
- 1,041
- 1
This equation of a sphere in spherical coordinate form:
ρ = 4sinφcosθ converts very readily to (x-2)2 + y2 + z2 = 4 with very little effort.
Now this similar equation looks to me like it should also be a sphere, but I can't seem to get anywhere with it:
ρ = 4sinθcosφ
I just end up with a very ugly
x2 + y2 + z2 = 4yz/(√(x2+y2)
and I have no idea what to do with that.
Is this a dead end? Is the second equation not a sphere?
ρ = 4sinφcosθ converts very readily to (x-2)2 + y2 + z2 = 4 with very little effort.
Now this similar equation looks to me like it should also be a sphere, but I can't seem to get anywhere with it:
ρ = 4sinθcosφ
I just end up with a very ugly
x2 + y2 + z2 = 4yz/(√(x2+y2)
and I have no idea what to do with that.
Is this a dead end? Is the second equation not a sphere?