Examples of cylinder in the following topics:

 A cylinder (from Greek "roller" or "tumbler") is one of the most basic curvilinear geometric shapes.
 The surface is formed by the points at a fixed distance from a given line segment, the axis of the cylinder.
 The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder.
 The surface area and the volume of a cylinder have been known since antiquity.
 In common use, a cylinder is taken to mean a finite section of a right circular cylinder, i.e. the cylinder with the generating lines perpendicular to the bases, with its ends closed to form two circular surfaces.

 For example, take the case of an archer who decides to shoot an arrow of mass m1 at a stationary cylinder of mass m2 and radius r, lying on its side.
 If the archer releases the arrow with a velocity v1i and the arrow hits the cylinder at its radial edge, what's the final momentum ?
 Initially, the cylinder is stationary, so it has no momentum linearly or radially.
 Once the arrow is released, it has a linear momentum p=mv1i and an angular component relative to the cylinders rotating axis, L=rp=rm1v1i.
 The arrow hits the edge of the cylinder causing it to roll.

 The buoyancy force on the cylinder is equal to the weight of the displaced fluid.
 However (and this is the crucial point), the cylinder is entirely submerged, so the volume of the displaced fluid is just the volume of the cylinder (see ), and:
 The volume of a cylinder is the area of its base multiplied by its height, or in our case :
 $F_B = m_\mathrm{fl} g = V_\mathrm{cylinder} \rho g = (h_1  h_2)\rho g A$.
 The volume of the fluid displaced (b) is the same as the volume of the original cylinder (a).

 The idea is that a "representative rectangle" (used in the most basic forms of integration, such as $\int x \,dx$) can be rotated about the axis of revolution, thus generating a hollow cylinder with infinitesimal volume.
 Integration, as an accumulative process, can then calculate the integrated volume of a "family" of shells (a shell being the outer edge of a hollow cylinder), giving us the total volume.
 By adding the volumes of all these infinitely thin cylinders, we can calculate the volume of the solid formed by the revolution.

 Sculptural forms include humans, animals, and cylinder seals with cuneiform writing and imagery in the round or as reliefs.
 Animals, along with forms of writing, also appear on early cylinder seals, which were carved from stones and used to notarize documents.
 Like the cylinder seal found in Queen Puabi's tomb, the figures in the Tell Asmar Hoard show hieratic scale.
 An Urukperiod cylinder seal and stamped clay tablet featuring monstrous lions and lionheaded eagles, on display at the Louvre Museum.
 Cylinder seal and stamped clay fragment from the tomb of Queen Puabi (c. 2600 BCE)

 The
Cyrus Cylinder is an ancient clay artifact, now broken into several fragments, that
has been called the oldestknown charter of universal human rights and a symbol
of his humanitarian rule.
 The
cylinder dates from the 6th century BCE and was discovered in the ruins of
Babylon in Mesopotamia, what is now Iraq, in 1879.
 In addition to describing the
genealogy of Cyrus, the declaration in Akkadian cuneiform script on the
cylinder is considered by many Biblical scholars as evidence of Cyrus’s policy
of repatriation of the Jewish people following their captivity in Babylon.
 The
historical nature of the cylinder has been debated, with some scholars arguing
that Cyrus did not make a specific decree, but rather that the cylinder
articulated his general policy allowing exiles to return to their homelands and
rebuild their temples.

 An example would be to have a movable piston in a cylinder, so that the pressure inside the cylinder is always at atmospheric pressure, although it is isolated from the atmosphere.

 Circa 1870, the positive end of an electrostatic generator is placed near an uncharged brass cylinder, causing the cylinder to polarize as its left end becomes positive and its right end becomes negative.

 The volume of a cylinder: the crosssectional area times the height of the cylinder.

 The longer the cylinder, the more collisions charges will make with its atoms.
 The greater the diameter of the cylinder, the more current it can carry (again, similar to the flow of fluid through a pipe).
 A uniform cylinder of length L and crosssectional area A.
 The longer the cylinder, the greater its resistance.