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Cylinder Fish Tank Volume Calculator - Calculate volume in litres, gallons, cubic feet, bbl, cubic meters

Cylinder Fish Tank

Cylinder Fish Tank Volume Formula


Volume Calculation

The volume of a cylindrical fish tank is calculated using the following steps and formula:

1. Calculate the radius of the tank:

\[ r = \frac{d}{2} \]

2. Calculate the volume of the tank:

\[ \text{Tank Volume} = \pi \times r^2 \times h \]

Where:

  • d = Tank diameter
  • h = Tank height
  • r = Radius
Example Calculation

If the diameter of the tank is 60 cm and the height is 100 cm:

1. Calculate the radius:

\[ r = \frac{60}{2} = 30 \, \text{cm} \]

2. Calculate the volume:

\[ \text{Tank Volume} = \pi \times 30^2 \times 100 \]

\[ \text{Tank Volume} = \pi \times 900 \times 100 \]

\[ \text{Tank Volume} = 90,000 \pi \, \text{cm}^3 \approx 282,743.34 \, \text{cm}^3 \]

Convert to liters (1,000 cm³ = 1 liter):

\[ \text{Tank Volume} \approx 282.74 \, \text{liters} \]

Filled Volume Calculation

If the tank is not filled to the top, the filled volume is calculated using the height of the water level:

\[ \text{Filled Volume} = \pi \times r^2 \times h_{\text{filled}} \]

Where:

  • hfilled = Height of the water level

Factors to Consider
  • Always measure the inner dimensions of the tank to account for wall thickness.
  • Ensure the water level is slightly below the top edge to prevent overflow.
  • Decorations, filters, and equipment reduce the effective water volume.

  • How do I calculate the water volume in gallons?
    To convert the volume from liters to gallons, use the conversion factor: 1 liter ≈ 0.264172 gallons. For example, a 282.74-liter tank is approximately:

    • \[ 282.74 \times 0.264172 \approx 74.67 \, \text{gallons} \]


  • What is the minimum height-to-diameter ratio for a cylinder tank?
    There is no strict rule, but a balanced ratio (e.g., 1:1 to 2:1) is preferred for aesthetics and structural stability.

  • Can a cylindrical tank be used for saltwater fish?
    Yes, but ensure adequate volume for water stability and include space for filtration and protein skimmers.

  • What units should I use for the formula?
    Ensure all measurements are in the same unit (e.g., centimeters or meters) to calculate volume accurately. Convert the result to liters, cubic meters, or other desired units afterward.

  • How does the curved surface affect fish visibility?
    The curved surface of a cylindrical tank can distort light, potentially affecting visibility, but it provides an immersive 360° view.
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