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Spherical Wedge Nasıl Hesaplanır?

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Calculates spherical wedge volume from sphere radius and dihedral angle. Portion between two meridian planes.

Formül

Volume = (2/3) × r³ × θ where θ = angle in radians

Adım Adım Kılavuz

  1. 1Volume = (2/3) × r³ × θ where θ = angle in radians
  2. 2Surface area: two half-circles of radius r plus curved surface
  3. 3Constraint: 0 < θ ≤ 2π (full sphere at θ = 2π)
  4. 4Related to spherical lune (surface between two great circles)

Çözümlü Örnekler

Giriş
r=5, angle 90deg
Sonuç
Vol 130.9

Kaçınılması Gereken Yaygın Hatalar

  • Using degrees instead of radians
  • Confusing wedge with cap or other segments

Sık sorulan sorular

What's a spherical wedge practically?

Slice of an orange between two meridians; segment of Earth between two longitudes.

How does angle relate to volume?

Volume proportional to angle; doubled angle = doubled volume (linear relationship).

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