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Jinsi ya kukokotoa Spherical Wedge

Spherical Wedge ni nini?

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

Fomula

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

Mwongozo wa Hatua kwa Hatua

  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)

Mifano Iliyotatuliwa

Ingizo
r=5, angle 90deg
Matokeo
Vol 130.9

Makosa ya Kawaida ya Kuepuka

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

Maswali yanayoulizwa mara kwa mara

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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