» Volume of a Spherical Cap


Calculate spherical cap volume from sphere radius or diameter and cap height. Convert units and reverse solve a missing dimension.

Use this spherical cap volume calculator to quickly find the volume of a spherical cap from the sphere radius or sphere diameter and the cap height. It is useful for geometry, schoolwork, and conversions between cubic units.

You can calculate volume in radius or diameter mode, convert units instantly, and also use reverse calculation when you need to find a missing radius, diameter, or height from a known volume.


Volume of a spherical cap formulas

$$V= \frac{\pi h^{2}(3R-h)}{3}$$






Volume of a Spherical Cap FAQ

What is the formula for the volume of a spherical cap?
The formula is V = pi h^2 (3R - h) / 3, where R is the sphere radius and h is the cap height.

Can I calculate spherical cap volume from diameter and height?
Yes. If you enter the sphere diameter, the calculator converts it to radius internally and then applies the spherical-cap formula.

What is cap height?
Cap height is the perpendicular distance from the flat cut surface of the cap to the top of the spherical segment.

Can I convert spherical cap volume into other units?
Yes. The result can be shown in different cubic units, making it easier to work across metric and imperial systems.

Can I solve for a missing radius, diameter, or cap height?
Yes. Reverse calculation can determine one missing dimension when the cap volume and the other required values are already known.


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