Spherical ring

Description and formulas for calculating a spherical ring

Spherical ring definition


A ball ring is a solid ball that contains a cylindrical hole. It is bounded on the outside by a symmetrical spherical layer and on the inside by the lateral surface of a straight circular cylinder.

The volume only depends on the height L of the ball ring and not from the sphere radius R. This is plausible because the spherical ring becomes thinner as the spherical radius increases.

Spherical Ring Spherical Ring

Formulas for the spherical ring

Spherical ring volume


Cylinder height


Cylinder volume


Sphere radius




Cylinder radius


Spherical ring surface
(inside + outside)





You can find a calculator for calculating a spherical ring here


Is this page helpful?            
Thank you for your feedback!

Sorry about that

How can we improve it?