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Physik

Verifizierter Rechner mit transparenter Formel

Physik

Cylindrical Tank Volume Calculator.

Calculates the volume of a cylindrical tank in liters and cubic meters based on diameter and height.

Ergebnisse werden während der Eingabe live aktualisiert.
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Ihre Eingaben

So funktioniert es

  1. 1

    Measure the diameter of the tank in meters.

  2. 2

    Measure the height of the tank in meters.

  3. 3

    Divide the diameter by 2 to get the radius.

  4. 4

    Calculate volume using π × radius² × height.

pi * (diameter/2)^2 * height

Häufig gestellte Fragen

How do I convert the volume to liters?

Multiply the volume in cubic meters by 1000 to get liters.

What if my tank is partially filled?

Use the liquid height instead of the full height to get the volume of liquid.

Can I use this for horizontal tanks?

No, this formula assumes a vertical cylinder. Horizontal tanks require a different calculation.

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Ergebnisse

Formel geprüft

Volume

9,425m³

Volume in liters9.425L
Fragen Sie alles

Schätzung nur zur allgemeinen Orientierung – wichtige Entscheidungen mit einem geeigneten Fachmann verifizieren.

So funktioniert es

Calculates the volume of a cylindrical tank in liters and cubic meters based on diameter and height.

  1. Measure the diameter of the tank in meters.
  2. Measure the height of the tank in meters.
  3. Divide the diameter by 2 to get the radius.
  4. Calculate volume using π × radius² × height.

Formeln

Die Mathematik hinter diesem Rechner, aufgeschrieben, damit Sie das Ergebnis überprüfen können.

Cylinder volume

V = π × r² × h

The volume of a cylinder is the area of its circular base (πr²) times its height.

Example:

Input: r = 1 m, h = 3 m

Calculation: π × 1² × 3

Result: ≈ 9.42 m³

Anwendungsfälle im Alltag

Wo diese Berechnung im täglichen Leben vorkommt.

Water storage

Determine how much water a cylindrical tank can hold for residential or agricultural use.

Example: A 2 m diameter, 3 m tall tank holds about 9,425 liters.

Fuel tanks

Estimate fuel capacity for cylindrical storage tanks in industrial settings.

Example: A 4 m diameter, 5 m tall tank holds about 62,832 liters.

Aquarium sizing

Calculate the water volume for cylindrical aquariums to plan filtration and stocking.

Example: A 1 m diameter, 1 m tall tank holds about 785 liters.

Tipps und häufige Fehler

Tips

  • Always measure the internal dimensions for accurate volume.
  • Use consistent units (meters) to get cubic meters directly.
  • For partially filled tanks, measure the liquid depth and use that as the height.
  • Remember that 1 cubic meter equals 1000 liters.

Common Mistakes to Avoid

  • Using diameter instead of radius in the formula.
  • Forgetting to convert measurements to the same unit.
  • Assuming the tank is perfectly cylindrical when it may have rounded ends.

Annahmen und Einschränkungen

  • Use the stated inputs and units.
  • Results are estimates for planning and education.
  • Check measurements and source data before making an important decision.