Difference between revisions of "Cylinder"
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==Formulas== | ==Formulas== | ||
In these formulas, <math>r</math> is used to denote the radius and <math>h</math> is used to denote the height. | In these formulas, <math>r</math> is used to denote the radius and <math>h</math> is used to denote the height. | ||
| − | *[[Surface area]]: <math>2\ | + | *[[Surface area]]: <math>2\pi r^2+2\pi rh</math> |
*[[Volume]]: <math>\pi r^2h</math> | *[[Volume]]: <math>\pi r^2h</math> | ||
*The volume of a cylinder is thrice the volume of a cone with the same base radius and height | *The volume of a cylinder is thrice the volume of a cone with the same base radius and height | ||
Latest revision as of 16:35, 28 December 2024
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A cylinder is a solid generated by rotating a rectangle about one of its edges. A cylinder may also refer to the surface of such a solid. A cylinder may also be thought of as the solid bounded by two parallel planes and the set of all points equidistant from a line perpendicular to both planes. Thus, a cylinder has two circular flat surfaces--think of a can of soup. Typically, to solve for surface area or volume of a cylinder, the radius of the circular faces and the height of the cylinder are involved.
Formulas
In these formulas, 
is used to denote the radius and 
is used to denote the height.
- Surface area:
- Volume:
- The volume of a cylinder is thrice the volume of a cone with the same base radius and height
