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The three coordinate surfaces of the cylindrical system are

  • A.a sphere, a cone and a half plane, as in the spherical system
  • B.a cylinder, a cone and a plane perpendicular to the axis
  • C.a cylinder, a half plane and a plane
  • D.three mutually perpendicular planes, as in the Cartesian system

Answer: C

Holding the radial distance fixed gives a cylinder about the axis, holding the azimuthal angle fixed gives a half plane containing the axis, and holding the height fixed gives a plane. The three intersect at right angles, which is what makes the system orthogonal.

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