Quickly calculate the volume of a spherical segment using this spherical segment volume calculator. Input the radius of the sphere and the height of the segment.
R = radius of the sphere
h = height of the spherical segment
V = volume
This spherical segment volume formula calculates the volume by multiplying π by the square of the segment height and by (3R - h), then dividing by 3.
| Radius (R) | Height (h) | Volume (V) |
|---|---|---|
| 5 | 2 | 87.964594 |
| 10 | 3 | 282.743338 |
| 7 | 4 | 251.327412 |
| 8 | 5 | 418.879021 |
| 6 | 3 | 169.646003 |
To compute spherical segment volume manually:
1. Measure the sphere radius (R) and segment height (h).
2. Square the height (h²).
3. Multiply by π.
4. Multiply by (3R - h).
5. Divide the result by 3: V = π h² (3R - h) / 3.
This spherical segment volume calculator computes the volume instantly with up to six decimal places. Useful for students, engineers, and mathematicians working with spheres.
• A spherical segment is also called a spherical cap.
• The formula comes from integrating the sphere's volume.
• Spherical segments appear in lenses and domes.
• They are widely used in architecture and physics.
• The volume depends on both the radius and the segment height.