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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.
What was Archimedes discovery about sphere and cylinder?
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.
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
How did Archimedes discover how to find the volume of a sphere?
How? With his brain! That's how he answered it
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 surface area of a sphere with a volume of 3500pi?
The surface area of a sphere with a volume of 3500pi is: 2,391 square units.
What is the process used by Archimedes to determine the volume of a sphere with equal weights?
THE Method of Equilibrium
Who discovered the formula of a sphere?
The formula for the volume of a sphere was discovered by the ancient Greek mathematician Archimedes.
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.
Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
Who discovered the formula for a sphere?
What's more important is knowing the formulae for a sphere which are:- Volume of a sphere = 4/3*pi*radius3 Surface area of a sphere = 4*pi*radius2
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.
