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The point \( P(3, 4, 5) \) in Cartesian coordinates has a cylindrical radial coordinate of

  • A.5
  • B.7.07
  • C.12
  • D.3

Answer: A

Correct answer: 5

\[ \rho = \sqrt{x^2+y^2} = \sqrt{9+16} = 5. \] The cylindrical radius is measured from the axis, so the z coordinate plays no part. Including it would give the spherical radius, \( \sqrt{50} = 7.07 \), which is offered as the first distractor.

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