How to use the spherical cap volume calculator
Compute volume of a spherical cap or dome. Enter sphere radius, cap height in the fields above; the volume, cap surface area are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- r — Sphere radius
- h — Cap height
Worked example
With sphere radius = 10, cap height = 3, the calculator gives volume ≈ 254.469; cap surface area ≈ 188.4956.
Frequently asked questions
What is the formula for the spherical cap volume calculation?
Volume = π × h × h × (3 × r-h) / 3. Cap surface area = 2 × π × r × h. Here r is sphere radius, h is cap height.
What inputs do I need for the spherical cap volume calculator?
You need sphere radius, cap height. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.