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He discovered the relationship between a sphere and a circumscribed cylinder of the same height and diameter. The volume is 4⁄3πr3 for the sphere, and 2πr3 for the cylinder. The surface area is 4πr2 for the sphere, and 6πr2 for the cylinder (including its two bases), where r is the radius of the sphere and cylinder. The sphere has a volume and surface area two-thirds that of the cylinder. A sculpted sphere and cylinder were placed on the tomb of Archimedes at his request.
Archimedes. Archimedes published a work named "On the Sphere and Cylinder", where he proved the formulas for the surface area and volume of both spheres and cylinders. This is actually quite impressive, considering that he lacked the concept of calculus or limits to aid him. In calculus, the proof for the volume of a cylinder because trivial through integration by slicing.
Your question is similar to asking who invented or discovered the square or circle. There is no originator or inventor -- or even discoveror. That particular geometric solid has always existed.
A cylinder? A cylinder is still a cylinder regardless of how long it is.
A cylinder has a plane face.A cylinder has a plane face.A cylinder has a plane face.A cylinder has a plane face.