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 (Abase):
Formula: Abase = πa² (a = √(h(2R-h)))
Spherical Cap Total Surface Area (Atotal):
Formula: Atotal = A + Abase
Spherical Cap Volume (V):
Formula: V = πh²(3R-h)/3
Spherical Cap Base Radius (a):
Formula: a = √(h(2R-h))

Spherical Cap Calculator Introduction

The Spherical Cap Calculator is a professional geometric calculation tool designed to compute various geometric parameters of a spherical cap (the portion of a sphere cut off by a plane). This tool is based on precise mathematical formulas and can rapidly calculate key parameters such as the curved surface area, base area, total surface area, volume, and base radius of the spherical cap. It is suitable for multiple fields including mathematics learning, engineering design, architectural calculation, and more, helping users easily resolve geometric calculation problems related to spherical caps.

How to Use the Spherical Cap Calculator

  1. Input Parameters:
    Sphere Radius (R): Enter the radius value of the complete sphere.
    Spherical Cap Height (h): Enter the height value of the spherical cap (the perpendicular distance from the base to the top point).
  2. Select the desired unit for calculation.
  3. Perform Calculation: Click the "Calculate" button to perform the calculation, or press the "Enter" key directly within the input field.
  4. View Results: The calculation results will be displayed in real-time in the lower region.
Note: The spherical cap height cannot exceed the sphere's diameter (h ≤ 2R).