Volume Calota Esférica

The spherical cap volume calculator determines the volume of the part of a sphere cut by a plane, known as a spherical cap. It uses the formula V = (πh²/3)(3R−h), where R is the radius of the original sphere and h is the height of the cap. This tool is useful in engineering, architecture, and design, allowing quick calculation of the space occupied by domes, partially filled spherical tanks, or any cap-shaped object.

The calculation is straightforward: enter the sphere radius and cap height. The formula derives from integrating cross-sectional areas, but the calculator does all the work. Ensure that h ≤ R for a valid cap; if h is larger, the result does not represent a cap but a larger spherical segment. Use consistent units, such as centimeters or meters, to get the volume in the corresponding cubic unit.

Use cases include determining the liquid volume in a partially filled spherical tank, calculating material needed for a dome, or estimating the space occupied by a spherical lens. The calculator is practical for students, teachers, and professionals who need quick results without complex manual calculations.