Volume fuso esférico
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The spherical wedge volume calculator determines the volume of a sphere segment bounded by two intersecting planes along a diameter. This tool is useful in advanced geometry, architecture, and astronomy for measuring truncated spherical volumes. The formula used is (2/3)R³α, where R is the sphere radius and α is the angle in radians between the two planes. To use the calculator, input the radius and the angle in radians.
A spherical wedge can be visualized as a slice of a sphere, similar to a curved slice of watermelon. For example, in architecture, this geometry is applied to design curved arches or domes. Crucially, ensure the angle is in radians, as the formula requires this unit. If the angle is provided in degrees, convert it by multiplying by π/180.
This calculator is particularly relevant for students and engineers working with spherical models. It simplifies complex calculations arising in celestial mass distribution problems or curved construction projects. Always check the units of R and α to avoid final result errors.
Frequently asked questions
How is the spherical wedge volume formula derived?
The formula (2/3)R³α is derived from integrating spherical geometry, considering the portion of the sphere's volume corresponding to the angle α in radians.
Can I use degrees instead of radians in the calculator?
Not directly. The angle must be in radians. Convert degrees by multiplying by π/180 before use.
What practical applications use spherical wedges?
They are applied in architecture (domes), astronomy (celestial body modeling), and curved engineering structures.
Is a spherical wedge the same as a spherical sector?
No. A spherical wedge is a volume, while a spherical sector refers to a curved surface in geometry.