Question

Identify the surface by converting to rectangular form the from the following equation
\[\rho=2\cos(\phi)\]

Answer 1

I'm not in calc3 but i just want to make sure i gave a friend th right answer
we know that \[x^2+y^2+z^2=\rho^2=2z\]

Answer 2

it follows that \[x^2+y^2+(z-1)^2=1\]
so the surface is a sphere with radius 1 and center (0,0,1)

Answer 3

@amistre64

Answer 4

so, it's been a while, but I'm not seeing where you got the 2z from. Shouldn't it just be 4?

Answer 5

for reference http://mathworld.wolfram.com/SphericalCoordinates.html