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 (UK series 4) The X Factor (UK series 4) The X Factor is a British television music competition to find new singing talent. The fourth series was broadcast on ITV from 18 August 2007 and was won by Leon Jackson on 15 December 2007, with Rhydian Roberts finishing as the runner-up and Dannii Minogue emerging as the winning mentor. Dermot O'Leary presented for the first time, replacing Kate Thornton, who had been presenting the show since series 1 in 2004. Fearne Cotton replaced Ben Shephard as presenter on the spin-off show "The Xtra Factor". The original judging panel consisted of Simon Cowell, Sharon