Find half-sphere volume and surface area from radius
Result
Hemisphere Volume
Step-by-Step Derivation
Hemisphere Volume Formula
V = (2 / 3)πr³
A hemisphere is exactly half of a sphere. Its volume is half the sphere formula, while surface area can be measured as curved area alone or total area including the circular base.
⚠Radius must be positive. Volume is in cubic units; surface area values are in square units.
How Hemisphere Volume Works
The radius defines both the curved half sphere and the flat circular base. The calculator reports volume plus curved and total surface area for comparison.
Half Sphere
A hemisphere is half of a sphere.
Radius
Distance from center to curved surface.
Curved Area
Curved area is 2πr².
Total Area
Total area includes the base: 3πr².
💡 Example: For r=6, V=(2/3)π(6³)=452.389 cubic units.
Applications of Hemisphere Volume
DomesBowlsTanksArchitecture
Frequently Asked Questions
What is a hemisphere volume calculator?▼
It calculates the volume of half a sphere from radius.
What is the hemisphere volume formula?▼
The formula is V = (2/3)πr³, which is half of sphere volume.
How do I use this calculator?▼
Enter the radius and click Calculate to get volume and surface area values.
Is hemisphere volume half of sphere volume?▼
Yes. A hemisphere is half a sphere, so its volume is half of 4/3πr³.
Where is hemisphere volume used?▼
It is used in domes, bowls, tanks, optics, architecture, and geometry homework.
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