Volume of Cylinder in Litres

Cylinder Volume Formula:

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

Volume (litres):

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1. What is 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:

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

Where:

\( V_L \) — Volume in litres
\( r \) — Radius of the cylinder (cm)
\( h \) — Height of the cylinder (cm)
\( \pi \) — Mathematical constant (~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: The division converts cubic centimeters to litres (1 litre = 1000 cm³).

Q2: Can I use different units?
A: This calculator specifically uses cm for input and litres for output. For other units, conversion is needed before calculation.

Q3: Does this work for oval or irregular cylinders?
A: No, this formula is only for perfect right circular cylinders.

Q4: How precise is the calculation?
A: It uses PHP's M_PI constant (3.1415926535898) for high precision.

Q5: What's the maximum size this can calculate?
A: There's no theoretical limit, but extremely large values might cause floating-point precision issues.