Archimedes discovered that all substances have a unique density - the amount of mass contained in a fixed volume of the substance.
Archimedes was told by the king to find out if his crown was made of pure gold, calculating the density of the crown, Archimedes found it to be a mix of gold and silver.
Hiero II, the King of Syracuse, wanted Archimedes to determine if gold had been withheld from a crown by the goldsmith commissioned to make it. Without damaging the crown, Archimedes used water displacement to prove that the gold was not all there.
Archimedes SP can be used to find out the extent of brain damage. It is a machine that is used to explore the brain.
Archimedes (of Syracuse).
Archimedes created the formula for measuring the circumference of a circle he used many-sided polygons, both inside and out to approximate it.
If you're able to get around in Calculus, then that derivation is a nice exercise in triple integration with polar coordinates. If not, then you just have to accept the formula after others have derived it. Actually, the formula was known before calculus was invented/discovered. Archimedes used the method of exhaustion to find the formula.
Archimedes used water displacement to determine the volume of the crown and compared it to the volume of pure gold of the same weight. If the crown's volume was greater, meaning it had been alloyed with a less dense metal, then the king's crown was not made of solid gold.
Well I believe that Archimedes measured the Circumference of a circle then divided by the diameter. He then realized through simple algebra that if C/d = pi then d*pi = C
archimedes, pi is the name of the greek letter p, which was used as the shortened version of the greek word perimeter,or circumference of a circle. archimedes was looking for a formula to find the area of a circle, and he required a more accurate value for the constant pi. previously pi had been assigned a very approximate value of 1/3 or 22/7.
Archimedes came across concept of density - that is MASS divided by VOLUME. For each substance this ratio is different but a CONSTANT for that substance. Thus the mass you are dealing with is irrelevant if the crown had the same ratio as the piece of pure gold then the crown was pure god, if it did not then the crown was not gold.
Archimedes first used the symbol PI because he was the first one to discover it so he wanted to investigate about it.
It is used to find gold.......