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

Cone Volume (m³):

Filled Volume (m³):

Cone Volume (U.S. Gallons):

Filled Volume (U.S. Gallons):

Cone Volume (Imp. Gallons):

Filled Volume (Imp. Gallons):

Cone Volume (Liters):

Filled Volume (Liters):

Cone Volume (Cubic Feet):

Filled Volume (Cubic Feet):

Tank Volume (bbl):

Filled Volume (bbl):

Volume Calculation

The volume of a conical tank is calculated using the formula:

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

Where:

Filled Volume Calculation

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

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

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

Where:

What is the significance of R_cut?
R_cut represents the radius of the tank at the filled height, accounting for the tapering of the conical section. It interpolates between the bottom and top radii.

How do you ensure accurate measurement of the radii?
Measure the diameters at the widest points of the bottom and top of the cone, and divide each by 2 to get the respective radii (br and tr).

Can this formula be used for truncated cones?
Yes, the formula can be adapted for truncated cones by considering the effective height and recalculating based on the truncation point.

What units should be used for the formula?
All dimensions (H, br, and tr) should be in the same unit (e.g., meters, centimeters) to get the volume in cubic units (e.g., cubic meters, cubic centimeters).

How can the formula be adjusted for partial fills?
The formula for partial fills uses H_filled, the height of the liquid, and recalculates the radius at that height (R_cut), ensuring the filled volume reflects the actual liquid level.