Skip to main content

Cylinder Geometry: Volume, Surface Area & Relation to Sphere

A cylinder has two parallel circular bases. Archimedes proved a sphere has exactly 2/3 the volume of its circumscribed cylinder.
Advertisement
Featured Mathematics Learning Partner
Explore Advanced Geometry & 3D Modeling Tools

Archimedes' Cylinder and Sphere Connection

Archimedes considered his greatest mathematical achievement to be discovering that a sphere inscribed within a right circular cylinder has both a volume and a surface area equal to exactly two-thirds (2/3) that of the cylinder.

Formulas for Cylinder

Volume = π × r² × h
Surface Area = 2πrh + 2πr²
📂 Topic Archive: Geometry Category →
Sphere Volume Formula →