learn.howToCalculate
learn.whatIsHeading
Calculates spherical wedge volume from sphere radius and dihedral angle. Portion between two meridian planes.
Formula
Volume = (2/3) × r³ × θ where θ = angle in radians
Guida passo passo
- 1Volume = (2/3) × r³ × θ where θ = angle in radians
- 2Surface area: two half-circles of radius r plus curved surface
- 3Constraint: 0 < θ ≤ 2π (full sphere at θ = 2π)
- 4Related to spherical lune (surface between two great circles)
Esempi risolti
Ingresso
r=5, angle 90deg
Risultato
Vol 130.9
Errori comuni da evitare
- ✕Using degrees instead of radians
- ✕Confusing wedge with cap or other segments
Domande frequenti
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).
Pronto per calcolare? Prova la calcolatrice gratuita di Spherical Wedge
Provalo tu stesso →