When to use this calculator
Find the curved surface area of a spherical cap. Returns curved area only, excluding the flat cutting-plane circle.
Explore the volume & surface area calculators for other questions in this topic. For a related calculation, use the Spherical Cap Volume Calculator: Find the volume cut from a sphere by a plane at a chosen cap height.
PUTTING IT INTO PRACTICE
Spherical Cap 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 |
|---|---|
| Sphere radius | 5 |
| Cap height | 2 |
| Result | 62.831853 square units |
- Check the input labels and enter the example values above.
- Apply the relationship: Curved cap area = 2πrh.
- The result is 62.831853 square units, rounded for display.
How to interpret your result
Returns curved area only, excluding the flat cutting-plane circle.
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 spherical cap surface area calculator useful?
Find the curved surface area of a spherical cap. Returns curved area only, excluding the flat cutting-plane circle.
How do I use the spherical cap surface area calculator?
Enter sphere radius, cap height. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Curved cap area = 2πrh.
What should I check before using the result?
Returns curved area only, excluding the flat cutting-plane circle.
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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