Anyone who can rewrite the set R={(x,y,z)│0≤y,x^2+y^2+z^2≤1} to spherical coordinates and explain how we do the rewriting?

Question

turingtest · Answer

well, what shape is it? can you tell?

frostbite · Answer

it is a "half ball" so to say... with a nondefined area along one of the sides if i had to guess

turingtest · Answer

I don't know about a non-defined area, but it is a half a sphere, yes

frostbite · Answer

and along with that i know that x=p cos(t) sin(h), y=p sin(p) sin(h) and z=p cos(h).

amistre64 · Answer

sphere coords use 3 angles dont they?

amistre64 · Answer

or rather a radius, and 2 angles

turingtest · Answer

no, just two

amistre64 · Answer

polar is (r,t) ; sphere uses that same (r,t) and adds in .... is it an angle from the z axis ?

frostbite · Answer

But would the rewirting just be a substiuation of the x,y,z values i said?

amistre64 · Answer

x = cos t
y = sin t ; these are the same as polar since they are reflections onto the xy plane

amistre64 · Answer

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