Cylinder Calculator
Calculate volume, lateral surface and surface area of a cylinder. Online calculator with solution path and worked examples.
Result
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Formulas
Volume: V = Pi * r² * h
Base area: A = Pi * r²
Lateral surface: M = 2 * Pi * r * h
Surface area: O = 2 * Pi * r * h + 2 * Pi * r²
Note: These calculations are for informational purposes only and do not replace professional tax or financial advice. All information without guarantee.
Frequently Asked Questions
How do I calculate the volume of a cylinder?
Volume equals pi times radius squared times height. For a cylinder with a 5 cm radius and 10 cm height, the volume is approximately 785.4 cubic centimeters.
How do I calculate the surface area of a cylinder?
Total surface area equals 2 times pi times r times (r + h), which is the sum of two circular bases and the lateral surface area.
What is the Cylinder Calculator?
The cylinder calculator computes the volume, lateral surface and total surface area of a cylinder from radius and height.
How does the Cylinder Calculator work?
Enter the radius (or diameter) and height. Volume = pi * r squared * h. Lateral surface = 2 * pi * r * h. Total surface = 2 * pi * r * (r + h). Missing values can be computed from the known ones.
Key Data and Facts
Volume = pi * r squared * h. Lateral surface = 2 * pi * r * h. Surface area = 2 * pi * r * (r + h). 1 litre = 1,000 cm cubed.
Step-by-Step Guide
How to calculate einen Zylinder step by step: 1. Radius (oder Durchmesser) und Hoehe enter. 2. Volumen calculate: V = pi x r2 x h. Dies entspricht der Grundflaeche mal Hoehe. 3. Mantelflaeche calculate: M = 2 x pi x r x h. Die Mantelflaeche ist die abgewickelte Seitenflaeche (ein Rechteck mit Breite = Umfang und Hoehe = Zylinderhoehe). 4. Gesamtoberflaeche calculate: O = 2 x pi x r x (r + h) = Mantelflaeche + 2 x Grundflaeche. 5. Einheiten umrechnen: 1 Liter = 1.000 cm3 = 1 dm3. 1 m3 = 1.000 Liter. 6. Praktische Anwendungen: Rohrvolumen fuer Wasserleitungen, Inhalt von Behaeltern und Tanks, Materialbedarf fuer zylindrische Bauteile. 7. Bei bekanntem Volumen den Radius calculate: r = Wurzel(V / (pi x h)). Bei bekanntem Volumen die Hoehe calculate: h = V / (pi x r2).
Calculation Example
Zylinder mit r = 10 cm, h = 25 cm: Volumen = 3,14159 x 100 x 25 = 7.854 cm3 ≈ 7,85 Liter. Mantelflaeche = 2 x 3,14159 x 10 x 25 = 1.571 cm2. Oberflaeche = 2.199 cm2.
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