Spherical cap Area and Volume Calculator


Online Spherical cap Area and Volume Calculator: Calculate the volume and area of a Spherical cap based on its height and r the radius. Enter two unknowns in the form and press the CALCULATE button.

Table of contents:

What is a Spherical cap?

a spherical cap or a spherical dome is a portion of a sphere or ball cut by a plane. It is also a spherical segment of a base, that is to say delimited by a single plane. If the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the spherical cap is called a hemisphere.

The characteristics of the Spherical cap

If the radius of the small circle is the same as that of the sphere, then the spherical cap is called a hemisphere.

When a spherical layer is bounded by a plane tangent to a ball, then this spherical layer is bounded by a spherical cap.

A spherical cap is the envelope of a minor spherical segment.

Calculate the lateral area of a Spherical cap

The lateral area A of a spherical cap of radius r and height h is given by:

A = 2 . π . r . h

Calculate the volume of the Spherical cap

The volume delimited by a spherical cap of height h and the sphere of radius r is:

V = π .r2 (r - h/3)