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 (ft³)
• \( r \) — Radius of the base in feet (ft)
• \( h \) — Height of the cylinder in feet (ft)
• \( \pi \) — Mathematical constant (approximately 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 containment in tanks, pipes, and containers.

4. Using the Calculator

Tips: Enter radius and height in feet. Both values must be positive numbers. The calculator automatically uses the precise value of π for calculations.

5. Frequently Asked Questions (FAQ)

Q1: Can I use different units?
A: This calculator uses feet for both radius and height. Convert other units to feet before calculation (1 foot = 12 inches, 1 foot ≈ 0.3048 meters).

Q2: What if my cylinder isn't a perfect right circular cylinder?
A: This formula only works for perfect right circular cylinders. For other shapes, different formulas apply.

Q3: How precise is the calculation?
A: The calculator uses PHP's built-in M_PI constant (approximately 15 digits of precision) and rounds results to 2 decimal places.

Q4: Can I calculate radius or height if I know the volume?
A: Yes, you can rearrange the formula: \( r = \sqrt{V/(\pi h)} \) or \( h = V/(\pi r^2) \).

Q5: What are common applications of this calculation?
A: Used in calculating water tank capacities, pipe volumes, concrete columns, storage silos, and many industrial applications.