The Method of Mechanical Theorems convenient to use a little bit of coordinate geometry. If a sphere of radius 1 is placed with its center at "x" = 1, the vertical cross sectional radius formula_2 at any "x" between 0 and 2 is given by the following formula: The mass of this cross section, for purposes of balancing on a lever, is proportional to the area: Archimedes then considered rotating the triangular region between "y" = 0 and "y" = "x" and "x" = "2" on the "x"-"y" plane around the "x"-axis, to form a cone. The cross section of this cone is a circle
The X Factor (Australia season 4) The X Factor (Australia season 4) The X Factor was an Australian television reality music competition, based on the original UK series, to find new singing talent; the winner of which received a Sony Music Australia recording contract and a new car. The fourth season premiered on the Seven Network on 20 August 2012 and ended on 20 November 2012. The winner was Samantha Jade and her winner's single "What You've Done to Me" was released after the final. Jade was mentored throughout by Guy Sebastian, who won as mentor for the second year in a row. The main live