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He discovered the relationship between a sphere and a circumscribed cylinder of the same height and diameter. The volume is 4â„3Ï€r3 for the sphere, and 2Ï€r3 for the cylinder. The surface area is 4Ï€r2 for the sphere, and 6Ï€r2 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.
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Why was Archimedes important to the world?
Archimedes is especially important for his discovery of the relation between the surface and volume of a sphere and its circumscribing cyclinder. He is known for his formulation of a hydrostatic principle (known as Archimedes' principle) and a device for raising water, still used in developing countries, known as the Archimedes screw.
Who discovered the volume of cylinder?
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.
A cylinder and a sphere are different?
Yes, because a cylinder has lines and a sphere is round. Yes a cylinder has a circle but it does has lines also. But a circle has no vertexes. And a cylinder has a vertexes.
What is different about a cylinder and sphere?
A cylinder looks like a piece of pipe. A sphere looks like a ball.
Does a cone a cylinder and a sphere have any vertices?
The cone has one. Neither the cylinder nor the sphere has any.
