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In geometry, a spherical shell is a generalization of an annulus to three dimensions. It is the region between two concentric spheres of differing radii.
Contents
Volume
In three dimensions, the volume of a spherical shell is derived to be the volume of the inner sphere subtracted from the volume of the outer sphere.
where r is the radius of the inner sphere, and R is the outer radius.
An approximation, for thin-walled spherical shells can be represented as the area of the sphere multiplied by the thickness t of the shell.
when t is very small compared to R.
In popular culture
A Dyson sphere is a fictitious spherical shell first described by author Olaf Stapledon.
References
Spherical shell Wikipedia(Text) CC BY-SA