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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.
Does a cone a cylinder and a sphere have any vertices?
The cone has one. Neither the cylinder nor the sphere has any.
What is different about a cylinder and sphere?
A cylinder looks like a piece of pipe. A sphere looks like a ball.
Who introduced the formula of cylinder?
A spectacular landmark in the history of mathematics was the discovery by Archimedes (287-212 B.C.) that the volume of a solid sphere is two- thirds the volume of the smallest cylinder that surrounds it, and that the surface area of the sphere is also two-thirds the total surface area of the same cylinder.
What is the contribution of Archimedes?
Archimedes made a number of significant contributions to mathematics. These include studies on the sphere and cylinder, the measurement of the circle, and the circumference / diameter ratio.
What is contributions of Archimedes?
Archimedes made a number of significant contributions to mathematics. These include studies on the sphere and cylinder, the measurement of the circle, and the circumference / diameter ratio.
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 was the Greek mathematician who found the volume of a sphere?
4/3 *PI* r3 The formula was first derived by Archimedes, who showed that the volume of a sphere is 2/3 that of a circumscribed cylinder.
What was Archimedes discover?
Archimedes was a Greek Scholar, not a discovery.
What was the events leading to Archimedes discovery of gold?
The event leading to Archimedes discovery is finding gold
What year was Archimedes discovered?
Archimedes was a Greek Scholar, not a discovery.
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.
Did Archimedes descover decimals?
No, Archimedes is not credited with the discovery of decimals. In fact, Jamish Al-Kashi is credited with the discovery of decimals.
How Archimedes found the formula for finding the volume of the sphere?
Volume of a sphere = 4/3*pi*radius3 and legend has it that Archimedes was having a bath when he discovered the formula
Why are there two different formulas for calculating a cylinder and a sphere?
A sphere and a cylinder are different shapes. A sphere is like a ball, and a cylinder is like a can.
