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Presented to: Mg* Diego Leandro León Geometry in space Melisa Betancur The Cone It is the body of revolution obtained spinning a right triangle around one of his legs. HEIGHT: It is the distance from the vertex to the base. THE CONE AXIS: It is the fixed leg around which the triangle rotates. CONE ELEMENTS VERTEX: is the point where the generatrices converge GENERATOR: It is the hypotenuse of the right triangle. BASE: It is the circle that forms the other leg. To calculate the area or volume you only need one cone two of the following 3 data: height, radius, generatrix, since by the theorem Pythagoras can be find the third. Regarding volumes and how it happened with the prism and the inscribed pyramid, the volume of the cone is one third of the volume of the cylinder of equal base and height. CONE AREA AND VOLUME 50,24 cm3 94,2cm3 Determine the volume of a 4-cm cone of a ice cream radius and 3cm tall 62,8 cm3 39,6 cm3 Determine the total area of an ice cream cone 4cm radius and 3cm high 113,04 cm3 175,84 cm3 94,2 cm3 |