When to use this calculator
Find the volume of a hemisphere. A hemisphere is half a sphere cut through its centre.
Explore the volume & surface area calculators for other questions in this topic. For a related calculation, use the Hollow Cylinder Material Volume Calculator: Find material volume of a uniform hollow cylindrical tube.
PUTTING IT INTO PRACTICE
Hemisphere Volume: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Radius | 3 |
| Result | 56.548668 cubic units |
- Check the input labels and enter the example values above.
- Apply the relationship: Volume = 2πr³/3.
- The result is 56.548668 cubic units, rounded for display.
How to interpret your result
A hemisphere is half a sphere cut through its centre.
Volume and surface area have different units and answer different questions. Use internal dimensions for capacity. A closed-solid surface area includes bases and lids unless the calculator explicitly describes an open shape.
Frequently asked questions
Should I use internal or outside measurements?
Use internal measurements for capacity and outside measurements for covering the exterior. Match the formula to the part being measured.
When is the hemisphere volume calculator useful?
Find the volume of a hemisphere. A hemisphere is half a sphere cut through its centre.
How do I use the hemisphere volume calculator?
Enter radius. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Volume = 2πr³/3.
What should I check before using the result?
A hemisphere is half a sphere cut through its centre.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Calculators Map editorial process · Updated · Methods and limitations