Water Tank Volume Calculator

Tank Shape:

Diameter:

Height:

Fill Height (optional):

Diameter:

Length:

Fill Height (optional):

Height:

Width:

Length:

Fill Height (optional):

Width:

Length:

Height:

Fill Height (optional):

Top Diameter:

Bottom Diameter:

Height:

Fill Height (optional):

Top Diameter:

Bottom Diameter:

Cone Height:

Cylinder Height:

Fill Height (optional):

Diameter:

Cylindrical Length:

Fill Height (optional):

Please select a tank shape.

Volume

Total Volume (cm³): Total Volume (liters): Total Volume (gallons):

1. What is a Water Tank Volume Calculator?

Definition: A Water Tank Volume Calculator computes the total and filled volume of water tanks based on their shape—Vertical Cylinder, Horizontal Cylinder, Rectangular Tank, Elliptical Tank, Frustum, or Cone Bottom Tank—using precise mathematical formulas.

Purpose: It is designed to calculate water storage capacity for residential, agricultural, or industrial water tanks, aiding in water management and system planning.

2. How Does the Calculator Work?

The calculator determines water volumes using the following formulas for different tank shapes:

Vertical Cylinder: \( V_{total} = \pi \times (d/2)^2 \times h \), \( V_{filled} = \pi \times (d/2)^2 \times f \) (partial)
Horizontal Cylinder: \( V_{total} = \pi \times (d/2)^2 \times l \), \( V_{filled} = 0.5 \times (d/2)^2 \times (\theta - \sin(\theta)) \times l \), where \( \theta = 2 \times \arccos((r - f)/r) \), \( r = d/2 \)
Rectangular Tank: \( V_{total} = h \times w \times l \), \( V_{filled} = f \times w \times l \) (partial)
Elliptical Tank: \( V_{total} = \pi \times w \times l \times h / 4 \), \( V_{filled} = l \times h \times w/4 \times [\arccos(1 - 2f/h) - (1 - 2f/h) \times \sqrt{4f/h - 4(f/h)^2}] \) (partial)
Frustum: \( V_{total} = (1/3) \times \pi \times h \times ((d_{top}/2)^2 + (d_{top}/2) \times (d_{bot}/2) + (d_{bot}/2)^2) \), \( V_{filled} = (1/3) \times \pi \times f \times R^2 \), where \( R = (d_{top}/2) \times (f + z)/(h + z^2) \), \( z = h \times (d_{bot}/d_{top} - d_{bot}) \)
Cone Bottom Tank: \( V_{total} = (1/3) \times \pi \times h_{cone} \times ((d_{top}/2)^2 + (d_{top}/2) \times (d_{bot}/2) + (d_{bot}/2)^2) + \pi \times (d_{top}/2)^2 \times h_{cylinder} \) (partial fill based on frustum and cylinder portions)

Unit Conversions:

Input (Length): mm (×0.1), cm (×1), m (×100), in (×2.54), ft (×30.48) to cm
Volume (from cm³): liters (×0.001), gallons (×0.000264172)

Process: Dimensions are converted to cm, water volumes are calculated in cm³, and results are converted to liters and gallons. Fill height, if provided, calculates the volume of water currently in the tank.

3. Importance of Water Tank Volume Calculation

Significance: Accurate water volume calculations are vital for managing water supply, planning storage for irrigation or drinking water, and ensuring efficient tank sizing in residential, agricultural, or industrial settings.

4. Using the Calculator

Steps: Select the water tank shape and input dimensions in mm, cm, m, in, or ft (all >0). Optionally, enter the fill height to calculate the current water volume. Results show total capacity and, if applicable, filled water volume in cm³, liters, and gallons.

5. Example

Scenario (Horizontal Cylinder): Diameter = 1 m, Length = 2 m, Fill Height = 0.5 m.
Calculation: Convert units: Diameter = 100 cm, \( r = 50 \, \text{cm} \), Length = 200 cm, Fill Height = 50 cm.
- \( V_{total} = \pi \times 50^2 \times 200 \approx 1,570,800 \, \text{cm}^3 \)
- \( \theta = 2 \times \arccos((50 - 50)/50) = \pi \)
- \( V_{filled} = 0.5 \times 50^2 \times (\pi - 0) \times 200 \approx 785,400 \, \text{cm}^3 \)
Conversions:
- Total: \( 1,570,800 \, \text{cm}^3 \approx 1,570.8 \, \text{liters} \approx 415 \, \text{gallons} \)
- Filled: \( 785,400 \, \text{cm}^3 \approx 785.4 \, \text{liters} \approx 207.5 \, \text{gallons} \).

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