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THE Method of Equilibrium

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Q: What is the process used by Archimedes to determine the volume of a sphere with equal weights?
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How would you be able to determine the volume of a sphere?

The equation is: (4/3)Pie r3The worded equation is: Four thirds Pie multiplied by the radius cubed.answer 2 Archimedes might have immersed the sphere in a liquid, and measured the volume that was displaced.


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.


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.


How do you determine the surface area of a partial sphere?

Take the surface area of the sphere as of it was whole, and divide by the amount of the sphere that is missing.


When did Archimedes find the volume of a sphere?

Presumably during his life time and the volume in cubic units = 4/3*pi*radius3

Related questions

What is the name of the process used by Archimedes to determine the volume of a sphere using equal weights?

It is called the method of equilibrium


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 would you be able to determine the volume of a sphere?

The equation is: (4/3)Pie r3The worded equation is: Four thirds Pie multiplied by the radius cubed.answer 2 Archimedes might have immersed the sphere in a liquid, and measured the volume that was displaced.


How did Archimedes discover how to find the volume of a sphere?

How? With his brain! That's how he answered it


What mathematician discovered the formula for finding the surface area of a sphere?

Archimedes.


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.


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.


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 is the relation between sphere and cone?

The ancient Greek mathematician Archimedes proved that the volume of a sphere is four times that of the cone with base equal to a great circle of the sphere and height the radius of the sphere. Maybe this is what the poser of the question meant.


What was the first culture to determine earth was a sphere?

The Greeks were the first to determine that the earth was a sphere and they modeled their maps that way.


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.