Calculate Cubic Feet of Cylinder

Cylinder Volume Formula:

\[ V_{ft³} = \frac{π \times r² \times h}{1728} \]

Volume (cubic feet):

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1. What is a Cylinder Volume Calculator?

Definition: This calculator estimates the volume of a cylinder in cubic feet based on its radius and height in inches.

Purpose: It helps professionals and DIYers determine the capacity or space occupied by cylindrical objects.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{ft³} = \frac{π \times r² \times h}{1728} \]

Where:

\( V_{ft³} \) — Volume in cubic feet
\( r \) — Radius in inches
\( h \) — Height in inches
1728 — Conversion factor (12³ inches³ per foot³)

Explanation: The formula calculates the volume in cubic inches first, then converts to cubic feet.

3. Importance of Cylinder Volume Calculation

Details: Accurate volume calculations are essential for material estimation, capacity planning, and design in various fields including construction, manufacturing, and packaging.

4. Using the Calculator

Tips: Enter the radius and height in inches. Both values must be greater than 0. The result will be 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).

Q2: Can I use centimeters instead of inches?
A: No, this calculator is designed for inches input. For centimeters, you would need a different conversion factor.

Q3: What's the most common use for this calculation?
A: Common uses include determining tank capacities, pipe volumes, and concrete pillar quantities.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise, but actual volumes may vary slightly due to manufacturing tolerances.

Q5: Can this calculate gallons instead of cubic feet?
A: No, but you can convert cubic feet to gallons by multiplying by 7.48052.