Spherical shell - wikipedia Spherical shell spherical shell, right : two halves 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 1 Volume 2 In popular culture 3 See also 4 References Volume The volume of a spherical shell is the difference between the enclosed volume of the outer sphere and the enclosed volume of the inner sphere : V = 4 3 π R 3 − 4 3 π r 3 ( displaystyle V = ( \frac ( 4 ) ( 3 ) ) pi R ^ ( 3 ) - ( \frac ( 4 ) ( 3 ) ) pi r ^ ( 3 ) ) V = 4 3 π ( R 3 − r 3 ) ( displaystyle V = ( \frac ( 4 ) ( 3 ) ) pi ( R ^ ( 3 ) - r ^ ( 3 ) ) ) where r is the radius of the inner sphere and R is the radius of the outer sphere. An approximation for the volume of a thin spherical shell is the area of the outer sphere multiplied by the thickness t of the shell : V ≈ 4 π R 2 t, ( displaystyle V approx 4 pi R ^ ( 2 ) t, ) when t is very small compared to R ( t ≪ R ( displaystyle t ll R ) ). In popular culture A Dyson sphere encloses a fictitious spherical shell around a star, as first described by author Olaf Stapledon. See also Spherical pressure vessel Ball Solid torus Bubble References Jump up ^ W., Weisstein, Eric. `` Spherical Shell ''. mathworld.wolfram.com. Wolfram Research, Inc. Archived from the original on 2 August 2016. Retrieved 7 January 2017. Jump up ^ Znamenski, Andrey Varlamov, Lev Aslamazov ; scientific editor, A.A. Abrikosov, Jr. ; translators, A.A. Abrikosov, Jr., J. Vydryg, & D. ( 2012 ). The wonders of physics ( 3rd ed. ). Singapore : World Scientific. p. 78. ISBN 978 - 9814374156. Archived from the original on 20 December 2017. Retrieved 7 January 2017. Retrieved from `` https://en.wikipedia.org/w/index.php?title=Spherical_shell&oldid=816363138 '' Categories : Elementary geometry Geometric shapes Spherical geometry Talk Contents About Wikipedia Català Deutsch Español Euskara Italiano Português Русский Edit links This page was last edited on 20 December 2017, at 21 : 51. About Wikipedia

Question: what is the volume of a spherical shell
Answer: the difference between the enclosed volume of the outer sphere and the enclosed volume of the inner sphere