How does the Spherical Wedge Calculator work?

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

Can you give an example of how to use the Spherical Wedge Calculator?

Example: Input r=5, angle 90deg gives a result of Vol 130.9.

Is the Spherical Wedge Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Spherical Wedge Calculator?

Our Spherical Wedge Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

What formulas does this Spherical Wedge Calculator use?

This calculator uses standard chemistry formulas as taught in A-Level, AP, and university courses. Results are rounded to appropriate significant figures.

Mathematics

Spherical Wedge Calculator

Spherical Wedge

Radius (r)

Dihedral angle (θ radians)

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

Difficulty:advanced

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Did You Know?

Spherical wedge volume simplest for angle portion; elegantly linear formula.

References

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Spherical Wedge Calculator

Spherical Wedge

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