When to use this calculator
Calculate the volume of a cylinder capped by two hemispheres. The length input excludes the two hemispherical ends.
Explore the volume & surface area calculators for other questions in this topic. For a related calculation, use the Cone Slant Height Calculator: Calculate the side length from base rim to tip of a right circular cone.
PUTTING IT INTO PRACTICE
Capsule 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 | 2 |
| Straight cylindrical length | 5 |
| Result | 96.342175 cubic units |
- Check the input labels and enter the example values above.
- Apply the relationship: Volume = πr² × straight length + 4πr³/3.
- The result is 96.342175 cubic units, rounded for display.
How to interpret your result
The length input excludes the two hemispherical ends.
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 capsule volume calculator useful?
Calculate the volume of a cylinder capped by two hemispheres. The length input excludes the two hemispherical ends.
How do I use the capsule volume calculator?
Enter radius, straight cylindrical length. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Volume = πr² × straight length + 4πr³/3.
What should I check before using the result?
The length input excludes the two hemispherical ends.
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