# $$(r, \theta, \phi) \Rightarrow (\rho, \phi, z)$$

Algebra Level 3

Express $$\rho$$ in terms of spherical coordinates.

$$Details \ and \ Assumptions$$:

1. In this picture, the red one is the $$\phi$$-coordinate.

2. The $$x-y-z-axes$$ are oriented such that you are facing the first octant.

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