Spherical cap Totally Explained

Everything about Spherical Cap totally explained

In geometry, a spherical cap is a portion of a sphere cut off by a 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.
If the radius of the sphere is called

r

, the radius of the base of the cap called

a

, and the height of the cap called

h

, the volume of the spherical cap is then

scriptstyle pi h (3a^2 + h^2)/6

and the curved surface area of the spherical cap is

scriptstyle 2 pi r h

. (External Link

) Note also that in the upper hemisphere of the diagram,

scriptstyle h = r - sqrt

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