Hemisphere Volume Calculator
Calculate the volume of a hemisphere from its radius
Volume
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Hemisphere Volume Calculator Formula
Volume of a hemisphere:
V = (2/3) × π × r³
r = radius
How to Use This Calculator
- Enter the radius of the hemisphere (the flat circular face).
- Click Calculate Volume to see the result.
Frequently Asked Questions
How is a hemisphere different from a sphere?
A hemisphere is exactly half a sphere, sliced through its center. Its volume is (2/3)πr³ — half the sphere's volume of (4/3)πr³. To calculate the full sphere, use our sphere volume calculator.
What is the flat face of a hemisphere?
The flat circular base has radius r and area πr². The curved dome above it is a half-sphere with the same radius.
What units does this calculator use?
This calculator is unit-agnostic. If you enter the radius in feet, the result is in cubic feet (ft³). Use whatever unit matches your measurement.
What is the surface area of a hemisphere?
The total surface area of a hemisphere is 3πr² — the curved dome area (2πr²) plus the flat circular base (πr²). If you only need the curved part, use 2πr².
Where are hemisphere calculations used in real life?
Hemisphere volumes come up when calculating the capacity of dome-shaped structures, mixing bowls, igloo interiors, and planetarium domes. They are also used in engineering for pressure vessel end caps.
Can I share my calculation?
Yes. After clicking Calculate, the URL updates with your input value. Copy and share the URL to let anyone else see the same pre-filled form and result.