User:Ksmnk81

Cylinder--

Formulas for a Cylinder-

Cylinder Volume: pi * radius2 * height

Cylinder (surface of side) perimeter of circle * height 2 * pi * radius * height

Cylinder (whole surface) Areas of top and bottom circles + Area of the side 2(pi * radius2) + 2 * pi * radius * height

Definition--

cylinder in mathematics, surface generated by a line moving parallel to a given fixed line and continually intersecting a given fixed curve called the directrix; each line of the family of lines forming the cylinder is called a ruling, or generator. If the directrix is a conic section (e.g., a circle or a parabola), the cylinder is called a quadric cylinder. The commonest type of cylinder is the right circular cylinder, in which the directrix is a circle and the lines forming the cylinder are all perpendicular to the plane of the circle. The solid bounded by a cylindrical surface and two parallel planes intersecting the surface in closed curves is also called a cylinder. The perpendicular distance between the planes is the altitude of the cylinder. The volume of the cylinder is equal to the product of the altitude and the area of the base (the area enclosed by either closed curve).

Records and facts --Simon Whitelock (UK) has constructed a motorcycle with a 2-stroke engine that has 48 cylinders and a capacity of 4200 cc (256 cu in). It consists of 16 Kawasaki KH250 3-cylinder engines arranged in six banks of eight and is completely road-legal. The engine is so large it has a complete single-cylinder 2-stroke engine to serve as a starter motor.

http://mathworld.wolfram.com/images/eps-gif/CylinderDimensions_1300.gif

The term "cylinder" has a number of related meanings. In its most general usage, the word "cylinder" refers to a solid bounded by a closed generalized cylinder (a.k.a. cylindrical surface) and two parallel planes (Kern and Bland 1948, p. 32; Harris and Stocker 1998, p. 102). A cylinder of this sort having a polygonal base is therefore a prism (Zwillinger 1995, p. 308). Harris and Stocker (1998, p. 103) use the term "general cylinder" to refer to the solid bounded a closed generalized cylinder.

Unfortunately, the term "cylinder" is commonly used not only to refer to the solid bounded by a cylindrical surface, but to the cylindrical surface itself (Zwillinger 1995, p. 311). To make matters worse, according to topologists, a cylindrical surface is not even a true surface, but rather a so-called surface with boundary (Henle 1994, pp. 110 and 129).

As if this were not confusing enough, the term "cylinder" when used without qualification commonly refers to the particular case of a solid of circular cross section in which the centers of the circles all lie on a single line (i.e., a circular cylinder). A cylinder is called a right cylinder if it is "straight" in the sense that its cross sections lie directly on top of each other; otherwise, the cylinder is said to be oblique. The unqualified term "cylinder" is also commonly used to refer to a right circular cylinder (Zwillinger 1995, p. 312), and this is the usage followed in this work. The right cylinder of radius with axis given by the line segment with endpoints  and  is implemented in Mathematica as Cylinder[x1, y1, z1, x2, y2, z2, r].