Internet Encyclopedia of Science
GEOMETRY
A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

                   • HOME
• ABOUT
• CATEGORIES
• USE OF TEXT AND IMAGES
• NEWSLETTER

  



isovolume problem


What surface encloses the maximum volume per unit surface? The answer is a sphere, for which:

volume/surface area = (4/3πr 3)/(4πr 2) = 1/3r


where r is the sphere's radius. Proof of the solution to the isovolume problem came as recently as 1882 from Schwarz.


Related entries

   • bubbles
   • isoperimetric equality


Related category

   • GEOMETRY


Also on this site:

Encyclopedia of Alternative Energy & Sustainable Living
Encyclopedia of History




BACK TO TOP