What you provide
What you provide
- Sphere radius expressed in units, using the same scenario as the other inputs
- Cap height expressed in units, using the same scenario as the other inputs
MATH / SOLID GEOMETRY
Spherical Cap Volume Calculator
Calculate the volume of a spherical cap from sphere radius and cap height. Review the equation, substituted values, result, assumptions, and interpretation in one focused workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Calculate the volume of a spherical cap from sphere radius and cap height. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
V=pi h^2(3R-h)/3
What you receive
What you receive
- Cap volume in cubic units from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The cap height is measured along the symmetry axis and does not exceed the sphere diameter.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors