\[V=\frac{2}{3}\pi r^2 h\]
Variables
Vspherical sector volume
rsphere radius
hsector height
Description
What is this formula?
This formula calculates the volume of a spherical sector. A spherical sector is the portion of a sphere formed by a spherical cap and the radii connecting the cap to the sphere center.
When to use it
Use this formula when calculating volumes of spherical wedges, dome sections, or regions bounded by spherical surfaces.
Example
If the sphere radius is 5 m and the sector height is 2 m:
V = (2/3)π(5)^2(2)
V ≈ 104.72 m³
Applications
- Geometry and mathematics
- Mechanical engineering
- Dome and spherical structure analysis
- Scientific modeling
- Fluid storage calculations
- Astronomy and physics