napkin ring theorem

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs cylindrical segment theorem
gptkbp:appliesTo gptkb:butter
solid of revolution
gptkbp:demonstrates counterintuitive geometric property
gptkbp:describes volume of a ring-shaped solid cut from a sphere
gptkbp:field gptkb:geometry
gptkbp:firstDescribed gptkb:Jacob_Steiner
19th century
https://www.w3.org/2000/01/rdf-schema#label napkin ring theorem
gptkbp:relatedTo gptkb:Archimedes'_sphere_and_cylinder_theorem
gptkbp:state the volume of a napkin ring depends only on the height of the ring, not the size of the sphere
gptkbp:usedIn mathematics education
gptkbp:volume V = πh^3/6, where h is the height of the ring
gptkbp:bfsParent gptkb:napkin_ring_problem
gptkbp:bfsLayer 7