Physics I / Polar, Cylindrical, and Spherical Coordinates
Practice question · Select all that apply

In spherical coordinates (ρ\rho, θ\theta, φ\varphi), which ranges cover the full sphere?

Hints
  1. One angle sweeps a full turn; the other only goes pole to pole.
  2. Letting both angles run a full turn would cover the sphere twice.
Show the answer
  • A. 0 ≤ φ\varphi ≤ π
  • B. 0 ≤ ρ\rho ≤ R
  • D. 0 ≤ θ\theta ≤ 2π
Why

φ\varphi ranges from 0 to π\pi (pole to pole); θ\theta goes full circle, 0 to 2π2\pi.

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