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Multivariable Calculus

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Moderate

Sphere in Spherical

MVCALC-1H18VH

Let $S$ be a sphere whose equation in rectangular coordinates is:

$$x^2+y^2+z^2 -6z=0$$

What is the equation of $S$ in spherical coordinates?

A

$\rho = 3\cos \phi$

B

$\rho = 6\cos \phi$

C

$\rho = 6\cos \phi \sin \theta $

D

$\rho = 3\sin \phi$

E

$\rho = 9\cos \phi \cos \theta $