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Cylindrical Tank Volume Formula:
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The cylindrical tank volume calculation determines the capacity of a cylinder-shaped container using its radius and height. This is particularly useful for hot water cylinders to determine their storage capacity in liters.
The calculator uses the cylindrical volume formula:
Where:
Explanation: The formula calculates the volume in cubic meters first, then converts it to liters (1 cubic meter = 1000 liters).
Details: Accurate volume calculation is essential for determining hot water storage capacity, which helps in proper system sizing, energy efficiency planning, and meeting household or commercial hot water demands.
Tips: Enter the radius and height in meters. Ensure measurements are taken from the inside of the cylinder for accurate results. All values must be positive numbers.
Q1: Why multiply by 1000 in the formula?
A: We multiply by 1000 to convert from cubic meters (the result of πr²h) to liters, as 1 cubic meter equals 1000 liters.
Q2: Can I use different measurement units?
A: This calculator requires meters as input. If you have measurements in other units, convert them to meters first (1 meter = 100 cm = 1000 mm).
Q3: Does this work for partially filled cylinders?
A: No, this formula calculates the total volume of a completely filled cylinder. Different calculations are needed for partially filled tanks.
Q4: How accurate is this calculation?
A: The calculation is mathematically precise for perfect cylinders. Real-world tanks may have slight variations due to manufacturing tolerances.
Q5: What's a typical residential hot water cylinder size?
A: Residential cylinders typically range from 100-300 liters, while commercial systems can be much larger (500-2000+ liters).