section_path: Writings/Surviving works/On the Sphere and Cylinder
section_name: On the Sphere and Cylinder
paragraph_text: On the Sphere and Cylinder
  
  In this two-volume treatise addressed to Dositheus, Archimedes obtains the result of which he was most proud, namely the relationship between a sphere and a circumscribed cylinder of the same height and diameter. The volume is 4 / 3 π r for the sphere, and 2 π r for the cylinder. The surface area is 4 π r for the sphere, and 6 π r for the cylinder (including its two bases), where r is the radius of the sphere and cylinder.