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Water Tank Capacity Calculator

Cylinder Volume Formula:

\[ V = \pi \times r^2 \times h \times 1000 \]

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1. What is the Water Tank Capacity Formula?

The water tank capacity formula calculates the volume of a cylindrical tank in liters. It is based on the mathematical formula for the volume of a cylinder, converted to liters by multiplying by 1000.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

\[ V = \pi \times r^2 \times h \times 1000 \]

Where:

Explanation: The formula calculates the volume of a cylinder (πr²h) in cubic meters, then converts it to liters by multiplying by 1000 (since 1 m³ = 1000 L).

3. Importance of Tank Capacity Calculation

Details: Accurate tank capacity calculation is essential for water storage planning, industrial applications, agricultural irrigation systems, and domestic water supply management.

4. Using the Calculator

Tips: Enter the radius and height of your cylindrical tank in meters. Both values must be positive numbers. The calculator will provide the capacity in liters.

5. Frequently Asked Questions (FAQ)

Q1: Why multiply by 1000 in the formula?
A: We multiply by 1000 to convert from cubic meters to liters, as 1 cubic meter equals 1000 liters.

Q2: Can I use different units for measurement?
A: This calculator requires meters as input. If you have measurements in other units, convert them to meters first (e.g., 1 cm = 0.01 m).

Q3: Does this formula work for non-cylindrical tanks?
A: No, this formula is specifically for cylindrical tanks. Other tank shapes require different formulas.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for perfect cylinders. Real-world tanks may have variations in shape that affect actual capacity.

Q5: Why is π used in the formula?
A: π (pi) is the mathematical constant that relates the circumference of a circle to its diameter, which is essential for calculating the area of the circular base of the cylinder.

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