Cylinder Calculators
Comprehensive collection of calculators for cylinders and cylindrical shapes in 3D geometry
Basic Cylinder Forms
Modified Cylinder Forms
Cylinder Segments and Sectors
Complex Cylinder Forms
About Cylinders and Cylindrical Solids
Cylinders are fundamental rotation solids with diverse applications in engineering, architecture, and nature:
- Engineering - Pipes, containers, motors
- Architecture - Columns, towers, silos
- Industry - Rollers, cylinders, tanks
- Nature - Tree trunks, stems
- Transportation - Wheels, axles, rollers
- Household - Cans, pots, glasses
Fundamental Cylinder Formulas
Circular Cylinder
Surface: M = 2πrh
Hollow Cylinder
Tube volume
Elliptical Cylinder
Elliptical base
Cylinder Sector
Sector portion
Practical Applications
Mechanical Engineering
- Engine cylinders: Combustion chambers in engines
- Hydraulic cylinders: Force transmission with fluids
- Rollers: Material processing and transport
Construction
- Columns: Load-bearing structural elements
- Silos: Storage of bulk materials
- Towers: Water towers, cooling towers
Process Engineering
- Reactors: Chemical processes
- Distillation columns: Material separation
- Heat exchangers: Tube bundles and shell-and-tube
Daily Life & Design
- Containers: Cans, bottles, glasses
- Furniture: Round tables, cylindrical forms
- Art: Sculptures and design objects
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Quick Reference
Historical Context
Archimedes (287-212 BC): Calculated cylinder volume and proved the relationship to the inscribed sphere.
Bonaventura Cavalieri (1598-1647): Developed the principle for volume calculations of oblique bodies.
Modern Application: From steam engines to high-performance reactors in industry.
Properties
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