Volume of a Hemisphere
Volume of a Hemisphere
\[V = \frac{2}{3}\pi r^3\]
Variables
V = volume (m³)
r = radius of the hemisphere (m)
Description
What is this formula?
This formula calculates the volume of a hemisphere, which is exactly half of a full sphere.
When to use it
Use this formula when calculating the volume of dome-shaped or half-spherical objects.
Example
If a hemisphere has radius 3 m:
V = (2/3)π × 3³
V = (2/3)π × 27
V = 18π
V ≈ 56.55 m³
Applications
- Geometry and mathematics
- Architecture (domes)
- Engineering design
- Fluid storage analysis
- 3D modeling
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