with congruent base areas, are positioned on the same plane, such that any other plane parallel to this plane sections both solids, determining from this section two polygons with the same area, then the volume of the two solids will be the same, we can determine the volume of the cylinder. This is because the volume of a cylinder can be obtained in the same way as the volume of a prism with the same height and the same area of the base. Therefore, simply multiply the area of the base by the height: . Since the area of a circle of radius , which is the base of the cylinder, is given by it follows that: or even . Equilateral cylinder The equilateral cylinder is characterized by being a right circular cylinder in which the diameter of the base is equal to the value of the height (geratrix). Then, assuming that the radius of the base of an equilateral cylinder is then the diameter of the base of this cylinder is and its height is . Its lateral area can be obtained by replacing the height value by : . The result can be obtained in a similar way for the total area: . For the equilateral cylinder it is possible to obtain a simpler formula to calculate the volume. Simply substitute the radius and height measurements defined earlier into the volume formula for a straight circular cylinder: Meridian section It is the intersection between a plane containing the axis of the cylinder and the cylinder. In the case of the right circular cylinder, the meridian section is a rectangle, because the generatrix is perpendicular to the base. The equilateral cylinder, on the other hand, has a square meridian section because its height is congruent to the diameter of the base. Examples of objects with a right circular cylinder shape See also Cylinder Geometry Solid geometry References Bibliography Balestri, Rodrigo (2016). Matemática: interação e tecnologia (in Portuguese) (2 ed.). São Paulo: Leya. Conexões com a matemática (in Portuguese) (1 ed.). São Paulo: Moderna. 2010. Dolce, Osvaldo; Pompeo, José Nicolau (2013). Fundamentos da matemática elementar 9: geometria plana (in Portuguese) (9 ed.). São Paulo: Atual. Dolce, Osvaldo; Pompeo, José Nicolau (2005). Fundamentos da matemática elementar, 10: geometria espacial, posição e métrica (in Portuguese). São Paulo: Atual. Giovanni, José Ruy; Giovanni Jr., José Ruy; Bonjorno, José Roberto (2011). Matemática fundamental: uma