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Cylinder Volume Formula in Litres

Cylinder Volume Formula:

\[ V_L = \frac{\pi \times r^2 \times h}{1000} \]

cm
cm

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1. What is a Cylinder Volume Calculator?

Definition: This calculator computes the volume of a cylinder in liters based on its radius and height measurements.

Purpose: It helps in various applications including engineering, chemistry, and everyday measurements where cylindrical container volumes need to be determined.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_L = \frac{\pi \times r^2 \times h}{1000} \]

Where:

Explanation: The formula calculates the cylindrical volume in cubic centimeters then converts to liters by dividing by 1000.

3. Importance of Cylinder Volume Calculation

Details: Accurate volume calculations are essential for liquid storage, chemical measurements, tank capacity planning, and various engineering applications.

4. Using the Calculator

Tips: Enter the radius and height in centimeters. Both values must be positive numbers. The result will be displayed in liters.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 1000 in the formula?
A: We divide by 1000 to convert cubic centimeters (cm³) to liters (L), since 1 liter = 1000 cm³.

Q2: Can I use different units?
A: This calculator specifically uses centimeters for input. For other units, you would need to convert them first.

Q3: What's the precision of the calculation?
A: The calculator uses PHP's M_PI constant (approximately 3.1415926535898) and shows results to 3 decimal places.

Q4: Does this work for partially filled cylinders?
A: No, this calculates total volume. For partial fills, you would need to know the fill height and use that as your height value.

Q5: How accurate is this for real-world applications?
A: The calculation is mathematically precise for perfect cylinders. Real-world containers may have variations in shape that affect actual capacity.

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