When to use this calculator
Find the external area of a cylinder with hemispherical ends. Includes the two curved hemispherical ends and no internal joining circles.
Explore the volume & surface area calculators for other questions in this topic. For a related calculation, use the Capsule Volume Calculator: Calculate the volume of a cylinder capped by two hemispheres.
PUTTING IT INTO PRACTICE
Capsule Surface Area: 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 | 113.097336 square units |
- Check the input labels and enter the example values above.
- Apply the relationship: Surface area = 2πr × straight length + 4πr².
- The result is 113.097336 square units, rounded for display.
How to interpret your result
Includes the two curved hemispherical ends and no internal joining circles.
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 surface area calculator useful?
Find the external area of a cylinder with hemispherical ends. Includes the two curved hemispherical ends and no internal joining circles.
How do I use the capsule surface area 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?
Surface area = 2πr × straight length + 4πr².
What should I check before using the result?
Includes the two curved hemispherical ends and no internal joining circles.
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.
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