1. What is Volume of a Cylinder?

The volume of a cylinder represents the amount of three-dimensional space it occupies. It's calculated using the formula V = πr²h, where r is the radius of the circular base and h is the height of the cylinder.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

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

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

3. Importance of Volume Calculation

Details: Calculating cylinder volume is essential in various fields including engineering, architecture, manufacturing, and science for determining capacity, material requirements, and spatial planning.

4. Using the Calculator

Tips: Enter the radius and height in consistent units. Both values must be positive numbers. The calculator will automatically use π with sufficient precision for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Use any consistent units for radius and height (cm, m, inches, etc.). The volume will be in cubic units of your input.

Q2: Can I calculate volume for other shapes?
A: This calculator specifically calculates cylinder volume. Different shapes require different formulas.

Q3: How precise is the calculation?
A: The calculator uses PHP's built-in M_PI constant which provides π with sufficient precision for most practical applications.

Q4: What if my cylinder is not right?
A: This formula works for right circular cylinders where the sides are perpendicular to the base. For oblique cylinders, different calculations are needed.

Q5: Can I use diameter instead of radius?
A: Yes, but you'll need to divide the diameter by 2 first to get the radius value before entering it into the calculator.