Horizontal Tank Volume Calculator

Horizontal Tank Volume Formula:

\[ V = L \times \left( \frac{\pi r^2}{2} + r^2 \arcsin\left(\frac{r - h}{r}\right) - (r - h) \sqrt{2 r h - h^2} \right) \]

Tank Volume:

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1. What is Horizontal Tank Volume Calculation?

The horizontal tank volume calculation determines the filled volume of a cylindrical tank placed horizontally. This is more complex than vertical tank calculations due to the circular segment geometry when partially filled.

2. How Does the Calculator Work?

The calculator uses the horizontal tank volume formula:

\[ V = L \times \left( \frac{\pi r^2}{2} + r^2 \arcsin\left(\frac{r - h}{r}\right) - (r - h) \sqrt{2 r h - h^2} \right) \]

Where:

\( V \) — Volume (cubic feet)
\( L \) — Tank length (feet)
\( r \) — Tank radius (feet)
\( h \) — Fill height (feet)

Explanation: The formula calculates the area of the circular segment (partially filled circle) and multiplies by the tank length to get volume.

3. Importance of Tank Volume Calculation

Details: Accurate volume calculation is essential for inventory management, process control, and safety in industries using horizontal tanks for liquid storage.

4. Using the Calculator

Tips: Enter tank length and radius in feet, and the current fill height in feet. All values must be positive numbers. The result is given in gallons.

5. Frequently Asked Questions (FAQ)

Q1: What if my tank is completely full?
A: For a full tank (h = 2r), the formula simplifies to V = πr²L (standard cylinder volume).

Q2: How accurate is this calculation?
A: The formula is mathematically exact for perfect cylindrical tanks. Real-world factors like tank deformation may affect accuracy.

Q3: Can I use this for elliptical tanks?
A: No, this formula is only for circular cross-sections. Elliptical tanks require different calculations.

Q4: What units should I use?
A: The calculator expects feet for all dimensions and returns gallons. Convert other units before entering.

Q5: How do I measure fill height?
A: Measure from the bottom of the tank to the liquid surface at the center of the tank's length.