Cone Top Tank Volume Calculator

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):

Cone Top Tank Volume Formula

Volume Calculation

The volume of a cone top tank is calculated by determining the volume of the cylindrical section and the conical section. The total volume is given by:

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

Where:

br = bottom radius (bottom diameter / 2)
H_cyl = height of the cylindrical section

\[ V_{\text{cone}} = \frac{\pi}{3} H_{\text{cone}} (br^2 + br \cdot tr + tr^2) \]

Where:

H_cone = height of the conical section
br = bottom radius (bottom diameter / 2)
tr = top radius (top diameter / 2)

The total volume of the tank is the sum of the volumes of the cylindrical and conical sections:

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

Filled Volume Calculation

The filled volume of the tank is calculated using the formula:

If filled height is less than or equal to cylinder height:

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

If filled height is greater than cylinder height:

\[ R_{\text{cut}} = tr + \left(\frac{H_{\text{filled}} - H_{\text{cyl}}}{H_{\text{cone}}}\right) H_{\text{cone}} \left(\frac{br - tr}{H_{\text{cone}}}\right) \]

\[ V_{\text{filled}} = \frac{\pi}{3} H_{\text{cone}} (br^2 + br \cdot R_{\text{cut}} + R_{\text{cut}}^2) + \pi br^2 H_{\text{cyl}} \]

Where:

H_{\text{filled}} = filled height
H_{\text{cyl}} = height of the cylindrical section
H_{\text{cone}} = height of the conical section
br = bottom radius (bottom diameter / 2)
tr = top radius (top diameter / 2)