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Horizontal Cylindrical Tank Volume Calculator

Horizontal Cylindrical Tank Volume Formula:

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

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1. What is the Horizontal Cylindrical Tank Volume Formula?

The horizontal cylindrical tank volume formula calculates the volume of liquid in a partially filled horizontal cylindrical tank. It accounts for the circular segment area multiplied by the length of the tank.

2. How Does the Calculator Work?

The calculator uses the horizontal cylindrical tank volume formula:

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

Where:

Explanation: The formula calculates the area of the circular segment occupied by the liquid and multiplies it by the length of the tank to get the total volume.

3. Importance of Volume Calculation

Details: Accurate volume calculation is crucial for inventory management, process control, and capacity planning in industries that use horizontal cylindrical tanks for storage.

4. Using the Calculator

Tips: Enter the tank length, radius, and liquid depth in consistent units. All values must be positive numbers (depth can be zero for empty tank).

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the measurements?
A: Use any consistent units (meters, feet, inches, etc.) for all dimensions. The result will be in cubic units of the same measurement system.

Q2: What if the depth is greater than the radius?
A: The formula works for any depth between 0 and 2r (full tank). For depths greater than the radius, the calculation automatically accounts for the larger segment.

Q3: How accurate is this calculation?
A: The calculation is mathematically exact for a perfect cylindrical tank with the given dimensions.

Q4: Can this be used for vertical cylindrical tanks?
A: No, this formula is specifically for horizontal cylindrical tanks. Vertical tanks use a different calculation method.

Q5: What about tanks with different end types?
A: This formula assumes flat ends. For tanks with hemispherical or other end types, additional calculations are needed.

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