1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the space occupied by a right circular cylinder. It's fundamental in geometry and has practical applications in engineering, construction, and fluid capacity calculations.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

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

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

3. Importance of Volume Calculation

Details: Calculating cylinder volume is essential for determining storage capacity, material requirements, and fluid volumes in tanks, pipes, and containers.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: This calculator uses feet for both radius and height, resulting in cubic feet. For other units, convert your measurements first.

Q2: Does this work for oval cylinders?
A: No, this formula is only for right circular cylinders (perfect circles as bases).

Q3: How accurate is the calculation?
A: The calculation is mathematically precise, but real-world accuracy depends on your measurement precision.

Q4: Can I calculate radius if I know volume and height?
A: Yes, you can rearrange the formula: \( r = \sqrt{V/(\pi h)} \).

Q5: What's the difference between diameter and radius?
A: Radius is half the diameter. Make sure to use radius in this calculator.