Cylinder
 |
A cylinder is a solid of circular Cross-Section in which the centers of the Circles all lie on asingle Archimedes 
in his 2-volume work On the Sphereand Cylinder in ca. 225 BC. 
A cylinder is called a right cylinder if it is ``straight'' in the sense that its cross-sections lie directly on top ofeach other; otherwise, the cylinder is called oblique. The surface of a cylinder of height 
and Radius 
can bedescribed parametrically by
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
for
and 
. These are the basis for Cylindrical Coordinates. The SurfaceArea (of the sides) and Volume of the cylinder of height and Radius are | |  | (4) |
 | |  | (5) |
Therefore, if top and bottom caps are added, the volume-to-surface area ratio for acylindrical container is
 | (6) |
and height .See also Cone, Cylinder-Sphere Intersection, Cylindrical Segment, Elliptic Cylinder, Generalized Cylinder, Sphere, Steinmetz Solid, Viviani's Curve
References
Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 129, 1987.
- Tree
- Tree-Planting Problem
- Tree Searching
- Trefoil Curve
- Trefoil Knot
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- Triabolo
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- Triangle Function