What formula did Archimedes discover?

What formula did Archimedes discover?

The formula for the volume of the cylinder was known to be πr2h and the formula for the volume of a cone was known to be 1⁄3πr2h. In this example, r and h are identical, so the volumes are πr3 and 1⁄3π r3. Archimedes also proved that the surface area of a sphere is 4πr2.

What did Archimedes do mathematically?

Archimedes was the greatest mathematician of his age. His contributions in geometry revolutionised the subject and his methods anticipated the integral calculus. He was a practical man who invented a wide variety of machines including pulleys and the Archimidean screw pumping device.

Was Archimedes alive in 212?

Archimedes was born c. 287 BC in the seaport city of Syracuse, Sicily, at that time a self-governing colony in Magna Graecia. The date of birth is based on a statement by the Byzantine Greek historian John Tzetzes that Archimedes lived for 75 years before his death in 212 BC.

What is Archimedes Principle in simple terms?

Archimedes’ principle states that a body immersed in a fluid is subjected to an upwards force equal to the weight of the displaced fluid.

How Archimedes showed that π is approximately equal to 22 7?

It is known that \pi is an irrational number and therefore cannot be expressed as a common fraction. Its value is approximately equal to 3.141592….How Archimedes showed that π is approximately equal to 22/7.

What was Archimedes greatest discovery?

Archimedes is especially important for his discovery of the relation between the surface and volume of a sphere and its circumscribing cylinder. He is known for his formulation of a hydrostatic principle (known as Archimedes’ principle) and a device for raising water, still used, known as the Archimedes screw.