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The lateral surface of a right cylinder is the meeting of the generatrices. [3] It can be obtained by the product between the length of the circumference of the base and the height of the cylinder. Therefore, the lateral surface area is given by: =. [2] Where: represents the lateral surface area of the cylinder; is approximately 3.14;
Cylindrical coordinates are useful in connection with objects and phenomena that have some rotational symmetry about the longitudinal axis, such as water flow in a straight pipe with round cross-section, heat distribution in a metal cylinder, electromagnetic fields produced by an electric current in a long, straight wire, accretion disks in ...
The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top. For a cube the lateral surface area would be the area of the four sides. If the edge of the cube has length a, the area of one square face A face = a ...
The term cylinder can also mean the lateral surface of a solid cylinder (see cylinder (geometry)). If a cylinder is used in this sense, the above paragraph would read as follows: A plane section of a right circular cylinder of finite length [ 6 ] is a circle if the cutting plane is perpendicular to the cylinder's axis of symmetry, or an ellipse ...
A right circular cone and an oblique circular cone Cylinder: Straight parallel sides and a circular or oval cross section A solid elliptic cylinder A right and an oblique circular cylinder Ellipsoid: A surface that may be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation
Quarter-circular area [2] ... Right-rectangular pyramid: a, b = the sides of the base ... Right circular cylinder: r = the radius of the cylinder
The lateral area, L, of a circular cylinder, which need not be a right cylinder, is more generally given by =, where e is the length of an element and p is the perimeter of a right section of the cylinder. [9] This produces the previous formula for lateral area when the cylinder is a right circular cylinder.
A right pyramid is a pyramid whose base is circumscribed about a circle and the altitude of the pyramid meets the base at the circle's center; otherwise, it is oblique. [12] This pyramid may be classified based on the regularity of its bases. A pyramid with a regular polygon as the base is called a regular pyramid. [13]