Spherical Cap Calculator

Enter sphere radius.
Enter cap height.
Math

Calculate spherical cap with explicit inputs and a worked example.

Formula

V = πh²(3R−h)/3; curved area = 2πRh

Example Calculation

Example inputs
  • Sphere radius: 3
  • Cap height: 1

Sphere radius 3 and cap height 1 gives volume about 8.37758.

Frequently asked questions

How do I use this calculator?

Enter sphere radius, cap height. The result updates automatically. Use Reset to restore the example values.

What method does it use?

V = πh²(3R−h)/3; curved area = 2πRh. Follow the units and definitions shown with the inputs to apply this relationship consistently.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.