1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the amount of space inside a right circular cylinder. It is derived from the base area (πr²) multiplied by the height (h) of the cylinder.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

• \( V \) — Volume of the cylinder (m³)
• \( \pi \) — Mathematical constant (approximately 3.14159)
• \( r \) — Radius of the circular base (m)
• \( h \) — Height of the cylinder (m)

Explanation: The formula calculates the volume by first finding the area of the circular base and then multiplying it by the height of the cylinder.

3. Importance of Volume Calculation

Details: Calculating cylinder volume is essential in various fields including engineering, construction, manufacturing, and fluid dynamics for determining capacity, material requirements, and storage volumes.

4. Using the Calculator

Tips: Enter radius and height in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator expects inputs in meters (m) and returns volume in cubic meters (m³). You can convert from other units before entering values.

Q2: Does this work for all types of cylinders?
A: This formula works for right circular cylinders where the sides are perpendicular to the base. For oblique cylinders, different calculations are needed.

Q3: How accurate is the calculation?
A: The calculation uses PHP's built-in M_PI constant (approximately 3.1415926535898) and provides results rounded to 4 decimal places for precision.

Q4: Can I calculate with diameter instead of radius?
A: Yes, but you'll need to convert diameter to radius first (radius = diameter/2) before entering the value.

Q5: What if I have measurements in different units?
A: Convert all measurements to meters before calculation, or convert the final result from cubic meters to your desired volume unit.