1. What is the Cylindrical Volume Formula?

The cylindrical volume formula calculates the cubic footage of a cylinder from its radius and height. This is useful in various applications like tank capacity, pipe volume, and container sizing.

2. How Does the Calculator Work?

The calculator uses the cylindrical volume formula:

Where:

• \( V \) — Volume in cubic feet (ft³)
• \( r \) — Radius in inches
• \( h \) — Height in inches
• 1728 — Conversion factor (12³ inches per cubic foot)

Explanation: The formula calculates the volume in cubic inches first (πr²h) then converts to cubic feet by dividing by 1728 (since 1 ft³ = 1728 in³).

3. Importance of Volume Calculation

Details: Accurate volume calculation is essential for determining storage capacity, fluid volumes, material requirements, and space planning in engineering and construction applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 1728?
A: There are 1728 cubic inches in a cubic foot (12 inches × 12 inches × 12 inches). The division converts cubic inches to cubic feet.

Q2: Can I use this for metric measurements?
A: No, this calculator is specifically for inches to cubic feet conversion. For metric, use radius and height in centimeters and divide by 1,000,000 to get cubic meters.

Q3: What if my cylinder is not perfect?
A: This formula assumes a perfect right circular cylinder. For irregular shapes, more complex calculations or measurements are needed.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for perfect cylinders. Real-world accuracy depends on measurement precision of the actual object.

Q5: Can I calculate gallons from this result?
A: Yes, multiply cubic feet by 7.48052 to convert to US gallons.