Surface Area of a Hemisphere
Surface Area of a Hemisphere
\[A = 3\pi r^2\]
Variables
A = surface area of hemisphere (m²)
r = radius of the hemisphere (m)
Description
What is this formula?
This formula calculates the total surface area of a hemisphere, including the curved surface and the circular base.
When to use it
Use this formula when determining the external surface area of dome-shaped or half-spherical objects.
Example
If a hemisphere has radius 3 m:
A = 3π × 3²
A = 27π
A ≈ 84.82 m²
Applications
- Geometry and mathematics
- Architecture (domes)
- Engineering design
- Tank and container modeling
- Physics and surface analysis
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