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Convert from cylindrical coordinates to spherical coordinates

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Converts from 3-dimensional cylindrical coordinates (ρ, θ, z) to spherical coordinates (r, θ, φ).
Cylindrical coordinates P:
(ρ
,
θ,
z)
[Angle Units
]
Spherical coordinates P:
(r ,θ ,φ )
\(\normalsize Transformation\ coordinates\\ \hspace{10px} Cylindrical\ (\rho,\theta,z)\ \rightarrow\ Spherical\ (r,\theta,\phi)\\ \hspace{10px} r=\sqrt{\rho^2+ z^2}\\ \hspace{10px} \phi=\tan^{\tiny -1}{\large\frac{\rho}{z}}\\ \hspace{10px} \theta=\theta\\\)

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Convert from cylindrical coordinates to spherical coordinates | Keisan