Problem:
Convert the following vector to spherical coordinates $(x, y, z) = (9, \frac{1}{3}, 5)$
Answer:
$\left\{\frac{\sqrt{955}}{3},\tan ^{-1}\left(\frac{\sqrt{\frac{146}{5}}}{3}\right),\tan ^{-1}\left(\frac{1}{27}\right)\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/spherical_coordinates/10169.txt'}