Dome Roof Tank Volume Calculator - Calculate volume in litres, gallons, cubic feet, bbl, cubic meters

Tank Volume (m³):

Filled Volume (m³):

Tank Volume (U.S. Gallons):

Filled Volume (U.S. Gallons):

Tank Volume (Imp. Gallons):

Filled Volume (Imp. Gallons):

Tank Volume (Liters):

Filled Volume (Liters):

Tank Volume (Cubic Feet):

Filled Volume (Cubic Feet):

Tank Volume (bbl):

Filled Volume (bbl):

Dome Roof Tank Volume Formula

Volume Calculation

The volume of a dome top tank is determined by adding the volumes of the cylindrical section and the dome section. Here's how to calculate each part:

Cylindrical Section Volume

The volume of the cylindrical section is calculated using the formula:

\[ V_{\text{cylinder}} = \pi r^2 H_{\text{cyl}} \]

Where:

r = Radius (diameter / 2)
H_cyl = Height of the cylindrical section

Dome Section Volume

The volume of the dome section is calculated using the formula for a spherical cap:

\[ V_{\text{dome}} = \frac{2}{3} \pi r^3 \]

Where:

r = Radius (diameter / 2)

The total volume of the tank is the sum of the cylindrical and dome section volumes:

\[ V_{\text{tank}} = V_{\text{cylinder}} + V_{\text{dome}} \]

Filled Volume Calculation

The filled volume of the tank is calculated using the formula for the cylindrical section, assuming the filled height is less than or equal to the cylindrical height:

\[ V_{\text{filled}} = \pi r^2 H_{\text{filled}} \]

Where:

r = Radius (diameter / 2)
H_filled = Filled height of the tank

If the tank is partially filled and the filled height exceeds the cylindrical section, the dome section must also be included, and an adjustment is made based on the height of the liquid level relative to the dome.

Example Calculation

Assuming the following tank dimensions:

Diameter = 6 meters
Cylindrical height = 10 meters

1. Calculate the cylindrical volume:

\[ V_{\text{cylinder}} = \pi (3)^2 (10) = 90\pi \, \text{m}^3 \]

2. Calculate the dome volume:

\[ V_{\text{dome}} = \frac{2}{3} \pi (3)^3 = 18\pi \, \text{m}^3 \]

3. Total volume:

\[ V_{\text{tank}} = 90\pi + 18\pi = 108\pi \, \text{m}^3 \approx 339.29 \, \text{m}^3 \]

How can I calculate the volume for tanks with irregular shapes?
For irregularly shaped tanks, you can break the tank into simpler geometric shapes (e.g., cylinders, cones) and calculate the volume of each, then sum the results.

What if the tank is partially filled to a height greater than the cylindrical section?
You need to adjust the filled volume to include the dome section if the liquid level extends into the dome. This requires more complex calculations, possibly involving the geometry of the dome.