1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the space occupied by a right circular cylinder. The formula is derived from the area of the circular base multiplied by the height of the cylinder.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

• \( V \) — Volume in cubic millimeters (mm³)
• \( r \) — Radius of the base in millimeters (mm)
• \( h \) — Height of the cylinder in millimeters (mm)
• \( \pi \) — Mathematical constant (~3.14159)

Explanation: The formula calculates the area of the circular base (πr²) and multiplies it by the height (h) to get the total volume.

3. Importance of Volume Calculation

Details: Calculating cylinder volume is essential in engineering, manufacturing, fluid dynamics, and various scientific applications where precise volume measurements are required.

4. Using the Calculator

Tips: Enter radius and height in millimeters. Both values must be positive numbers. The calculator will automatically compute the volume in cubic millimeters.

5. Frequently Asked Questions (FAQ)

Q1: Why use millimeters as the unit?
A: Millimeters provide precision for small objects. For larger objects, you can convert the result to other units like cm³ or m³.

Q2: How accurate is the calculation?
A: The calculation uses PHP's built-in M_PI constant (approximately 3.1415926535898) for high precision.

Q3: Can I calculate volume in other units?
A: Yes, but you'll need to convert the result. 1 mm³ = 10⁻³ cm³ = 10⁻⁹ m³.

Q4: Does this work for hollow cylinders?
A: No, this calculates solid cylinder volume. For hollow cylinders, subtract the inner volume from the outer volume.

Q5: What if my cylinder isn't right-circular?
A: This formula only works for right circular cylinders. For oblique cylinders, more complex calculations are needed.