Dome Tank Capacity Calculator

Dome Tank Volume Formula:

\[ Volume = \frac{\pi \times h^2 \times (3r - h)}{3} \]

Dome Tank Volume:

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1. What is the Dome Tank Volume Formula?

The dome tank volume formula calculates the capacity of a spherical cap (dome-shaped tank) based on its height and radius. This is useful for storage tank design and capacity planning in various industries.

2. How Does the Calculator Work?

The calculator uses the dome volume formula:

\[ Volume = \frac{\pi \times h^2 \times (3r - h)}{3} \]

Where:

\( h \) — Height of the dome (meters)
\( r \) — Radius of the sphere (meters)
\( \pi \) — Mathematical constant (~3.14159)

Explanation: The formula calculates the volume of a spherical cap, which is the portion of a sphere cut off by a plane.

3. Importance of Volume Calculation

Details: Accurate volume calculation is essential for storage capacity planning, liquid inventory management, and structural design of dome-shaped tanks.

4. Using the Calculator

Tips: Enter height and radius in meters. Both values must be positive numbers. The height must be less than or equal to the radius for a valid spherical cap.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between a dome and a full sphere?
A: A dome is a portion of a sphere, while a full sphere would use the standard 4/3πr³ formula.

Q2: Can this be used for hemispherical tanks?
A: Yes, when h = r, the formula calculates the volume of a hemisphere (half-sphere).

Q3: What units should I use?
A: The calculator uses meters, but the formula works with any consistent unit of measurement.

Q4: How accurate is this calculation?
A: The formula is mathematically precise for perfect spherical caps. Real-world tanks may have slight variations.

Q5: Can this calculate partial volumes in horizontal tanks?
A: No, this formula is specifically for vertical dome/spherical cap measurements.