Spherical Cap Calculator

Spherical Radius (R)

Spherical Cap Height (h)

Unit

Calculation Results

Spherical Cap Curved Area (A):

Formula: A = 2πRh

Spherical Cap Base Area (A_base):

Formula: A_base = πa² (a = √(h(2R-h)))

Spherical Cap Total Surface Area (A_total):

Formula: A_total = A + A_base

Spherical Cap Volume (V):

Formula: V = πh²(3R-h)/3

Spherical Cap Base Radius (a):

Formula: a = √(h(2R-h))

About the Spherical Cap Calculator

The spherical cap calculator is a professional geometry tool that computes the properties of a spherical cap (the portion of a sphere cut off by a plane). Based on precise mathematical formulas, it quickly calculates the curved surface area, base area, total surface area, volume, and base circle radius. It is useful for math study, engineering design, and construction.

How to Use the Spherical Cap Calculator?

Enter the parameters: enter the sphere radius (R) — the radius of the full sphere — and the cap height (h) — the height of the cap (the vertical distance from the base to the apex).
Choose the unit for the calculation as needed.
Calculate: click the "Calculate" button, or press Enter in the input boxes.
View the results: the results are displayed in real time in the area below.

Notes

The cap height cannot exceed the sphere\'s diameter (h ≤ 2R).