loud speaker

9/22/23 - MrNussbaum.com is NOW 20 Years old. Celebrate our birthday with a 60% off present when you register for MrN 365- the subscription, ad-free, all-content, teacher-curated, enhanced feature version of MrNussbaum.com. Use the code happybday

arrow up
Home > History > Archimedes Biography - Math Pioneers Series

Archimedes Biography - Math Pioneers Series

This page tells all about the life and discoveries of Archimedes. It is part of our math pioneers series.



Who was Archimedes?

Archimedes was a Greek mathematician and inventor who was born in 287 BC in Syracuse, a Greek city-state in Italy.  He spent most of his life in Syracuse and collaborated with multiple fellow mathematicians, including Conon of Samos and Eratosthenes of Cyrene, to make new discoveries. 

Simulations and Inventions

Archimedes made several renowned contributions to science and math.  He created two spheres—one was a star globe, and the other was a mechanical representation of the movements of the sun, moon, and planets.  His Archimedes screw pump, a device used to raise water for irrigation pumps using a rotating helix screw, is still used in developing countries today. 

Mathematic Formulas

Two of Archimedes’ acclaimed mathematical accomplishments include the discoveries of formulas for calculating the surface area and volume of a sphere.  Archimedes determined that the surface area of a sphere with radius r can be calculated as four times the area of its biggest circle, also known as SA = 4r­­­2.  He also deduced that the volume of any sphere is 2/3 that of a cylinder in which it is inscribed, resulting in the formula for volume of a sphere: V = r3.  This discovery was important enough to Archimedes that he left instructions for his tomb to show a drawing of a sphere inscribed inside a cylinder upon his death.

The "Eureka" Legend

One famous story about Archimedes involves his quest to calculate the proportion of gold and silver contained in an ornate wreath as per the orders of King Hieron II.  According to legend, Archimedes discovered suddenly that he could observe the relative densities of gold and silver by weighing the wreath in water; as he was in his bathtub when he came upon this realization, he supposedly ran through Syracuse naked shouting “Eureka!”  This tale is likely untrue, but it is an amusing way of remembering another of Archimedes’ accomplishments. 

Archimedes died in either 212 or 211 BC in Syracuse, but his inventions and equations remain full of life—as does the striking image of him sprinting through Syracuse, bursting with excitement about his latest discovery.



Archimedes Nicolaus Copernicus
Erathosthenes Leonardo da Vinci
Pythagoras Sir Isaac Newton
Galileo Albert Einstein
Ada Lovelace Srinivasa Ramanujan



Upgrade to MrN 365 to access our entire library of incredible educational resources and teacher tools in an ad-free environment. If you like MrNussbaum.com, you will LOVE MrN 365!

Learn More