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Fixing each spherical variable in turn while the other two vary generates the surfaces

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

Answer: D

A fixed radius gives a sphere about the origin, a fixed polar angle gives a cone with its apex there, and a fixed azimuthal angle gives a half plane containing the axis. Their mutual perpendicularity is again what makes the system usable.

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