1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the volume of a right circular cylinder. The standard formula is V = πr²h, where r is the radius and h is the height. We divide by 1000 to convert from cubic centimeters to litres.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

• \( V \) — Volume in litres
• \( \pi \) — Mathematical constant (~3.14159)
• \( r \) — Radius of the cylinder base in centimeters
• \( h \) — Height of the cylinder in centimeters

Explanation: The formula calculates the area of the circular base (πr²) and multiplies it by the height to get volume in cm³, then converts to litres by dividing by 1000.

3. Importance of Volume Calculation

Details: Calculating cylinder volume is essential in many fields including engineering, manufacturing, chemistry, and everyday applications like determining liquid capacity in containers.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: Does this work for any cylinder?
A: This formula works for right circular cylinders (where sides are perpendicular to the base). For oblique cylinders, a different approach is needed.

Q3: What's the precision of the calculation?
A: The calculator uses PHP's floating-point precision (typically about 14 decimal digits) but displays results rounded to 2 decimal places.

Q4: Can I use different units?
A: The calculator expects centimeters. If you have other units, convert to cm first (1 inch = 2.54 cm, 1 meter = 100 cm).

Q5: What if my cylinder isn't perfect?
A: This formula assumes a perfect geometric cylinder. For real-world containers, actual capacity may vary slightly.