1. What is a Cylinder Volume Calculator?

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

Purpose: It helps in various applications like determining liquid capacity in cylindrical containers, fuel tank volumes, or chemical storage calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V_L \) — Volume in litres
• \( r \) — Radius in centimeters
• \( h \) — Height in centimeters
• \( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: The formula calculates the cylindrical volume in cubic centimeters (πr²h) and converts it to litres by dividing by 1000 (since 1 litre = 1000 cm³).

3. Importance of Cylinder Volume Calculation

Details: Accurate volume calculations are essential for proper container sizing, liquid storage planning, and industrial process design.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 1000 in the formula?
A: We divide by 1000 to convert cubic centimeters (cm³) to litres, since 1 litre equals 1000 cm³.

Q2: Can I use different units?
A: The calculator expects centimeters. For other units, convert to cm first (1 inch = 2.54 cm, 1 foot = 30.48 cm).

Q3: What's the precision of the calculation?
A: Results are shown to 3 decimal places, using PHP's pi() function (approximately 3.1415926535898).

Q4: Does this work for oval or irregular cylinders?
A: No, this formula is only for perfect right circular cylinders. Other shapes require different formulas.

Q5: How accurate is this for real-world containers?
A: It gives theoretical volume. Actual capacity may vary due to container thickness, manufacturing tolerances, or internal structures.