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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.
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.
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.
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.
Why is Archimedes volume and surface area of a sphere important?
Archimedes' discovery of the volume and surface area of a sphere laid foundational principles in geometry and calculus, influencing future mathematical research and applications. His formulas, which state that the volume of a sphere is two-thirds that of the cylinder surrounding it and that the surface area is proportional to the square of its radius, are crucial in fields such as physics, engineering, and astronomy. This work not only advanced mathematical understanding but also demonstrated the power of geometric reasoning and the concept of limits, which are essential in calculus. Archimedes' contributions continue to be relevant in various scientific and practical contexts today.
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
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.
What year was Archimedes discovered?
Archimedes was a Greek Scholar, not a discovery.
What role did the Archimedes Sphere play in Greek mythology?
The Archimedes Sphere, also known as the Sphere of Archimedes, played a significant role in Greek mythology as it was believed to have been a powerful weapon created by the legendary mathematician and inventor Archimedes. According to the myth, the sphere had the ability to harness the power of the sun and use it as a destructive force against enemy ships.
Who was an ancient mathematician who asked that your grave be marked with a sphere inscribed in a cylinder?
The ancient mathematician who requested that his grave be marked with a sphere inscribed in a cylinder was Archimedes of Syracuse. He made significant contributions to geometry, calculus, and the understanding of levers and buoyancy. His request symbolizes his deep appreciation for geometry and the mathematical principles he explored throughout his life. Archimedes is famously known for his work on the volume and surface area of spheres and cylinders.
