Spherical Segment
A section of a sphere bounded by a small circle of that sphere.
If the radius of the small circle is the same as that of the sphere, the spherical cap is called a hemisphere.
When a spherical layer is bounded by a plane tangent to a sphere, then this spherical layer is bounded by a spherical segment of two bases.
A spherical segment is the envelope of a minor spherical segment.
Formula
The lateral surface area A of a spherical segment of radius r and height h is given by:
A = [latex]2 \pi Rh[/latex].
The volume V bounded by a spherical segment of height h of a sphere of radius r is given by:
V = [latex]\dfrac{\pi h^2 (3R-h)}{3}[/latex]