1. What is Cylinder Volume?

The volume of a cylinder is the amount of space it occupies, calculated using its radius and height. It's a fundamental measurement in geometry with applications in engineering, physics, and everyday life.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

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

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 for determining capacity of containers, pipes, and tanks in engineering, manufacturing, and construction applications.

4. Using the Calculator

Tips: Enter the radius and height in the same units (e.g., meters, inches). Both values must be positive numbers. The result will be in cubic units of whatever unit you used for input.

5. Frequently Asked Questions (FAQ)

Q1: What if my cylinder is not perfect?
A: This formula assumes a perfect right circular cylinder. For irregular shapes, more complex calculations or physical measurements are needed.

Q2: Does this work for horizontal cylinders?
A: The basic formula works for any right cylinder. For partially filled horizontal cylinders, additional calculations are needed.

Q3: What's the difference between diameter and radius?
A: Radius is half the diameter. Make sure you're using the correct measurement in the formula.

Q4: How precise is the π value used?
A: The calculator uses PHP's built-in M_PI constant which is precise to about 14 decimal places (3.1415926535898).

Q5: Can I calculate radius if I know volume and height?
A: Yes, you can rearrange the formula: \( r = \sqrt{V/(\pi h)} \)