# Archimedes’s prove his suspicion. Archimedes had spent a

Archimedes’s was a tale took place some 2,200 years ago when King Hieron II of Syracuse suspected that the jeweller had substituted some of the gold for cheaper metal like silver so he asked Archimedes to prove his suspicion. Archimedes had spent a long time trying to figure out the answer, which came to him when he noticed how water would splash out of his bath tub the moment he stepped into it, and the more he stepped into the tub, even more water got displaced. So to find the crown’s volume, Archimedes had to do was essentially immerse the crown and exact measurement of pure gold in a tub filled with water to the  brim, measure the spillage, and compare the volume of spillages if the jeweller had indeed made a crown of pure gold the volume should be the same. Archimedes’ soak in the tub gave rise to Archimedes Principle, which states that when a body is immersed in water, it experiences a kind of force we call  buoyancy. This force is equal to the weight of the water displaced by the body. Buoyancy explains why something floats, and others don’t. For instance, a ball of steel will sink because it’s unable to displace water that equals its weight. But steel of the same weight but shaped as a  bowl will float because the weight gets distributed over a larger area and the steel displaces water equal to its weight. Relative density, or specific gravity, is the ratio of the density (mass of a unit volume) of a substance to the density of a given reference material. Specific gravity usually means relative density with respect to water. The term “relative density” is often  preferred in modern scientific usage. 1  Nowadays, density becomes very important for example, ships require ballast to stay upright in the water, airplanes use counterweights to ensure they fly correctly. In either case, during the initial design, engineers must account for how much weight they need, and how much space must  be allotted for it. To determine how much space they need, they must know the density of the materials they plan on using. The purpose of this experiment was to determine the composition of a substance  based on its density and by Archimedes  principle.