Category:Right Circular Cylinders
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This category contains results about Right Circular Cylinders.
Definitions specific to this category can be found in Definitions/Right Circular Cylinders.
Definition 1
A right circular cylinder is the solid of revolution made by rotating a rectangle along one of its sides.
In the words of Euclid:
- When, one side of those about the right angle in a rectangular parallelogram remaining fixed, the parallelogram is carried round and restored again to the same position from which it began to be moved, the figure so comprehended is a cylinder.
(The Elements: Book $\text{XI}$: Definition $21$)
In the above diagram, the rectangle $ADHG$ has been rotated around the side $GH$ to produce the right circular cylinder $ACBEFD$.
Definition 2
A right circular cylinder is a right cylinder whose bases are circles.
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Right Circular Cylinders"
The following 9 pages are in this category, out of 9 total.
V
- Volume of Cone is Third of Cylinder on Same Base and of Same Height
- Volume of Cones or Cylinders of Same Height are in Same Ratio as Bases
- Volume of Right Circular Cylinder
- Volumes of Cones or Cylinders on Equal Bases are in Same Ratio as Heights
- Volumes of Parts of Cylinder cut by Plane Parallel to Opposite Planes are as Parts of Axis
- Volumes of Similar Cones and Cylinders are in Triplicate Ratio of Diameters of Bases