Cubic Foot Volume of a Cylinder

Cylinder Volume Formula:

\[ V_{ft3} = \frac{\pi \times r^2 \times h}{1728} \]

Volume (ft³):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is a Cylinder Volume Calculator?

Definition: This calculator computes the volume of a cylinder in cubic feet when given dimensions in inches.

Purpose: It helps in various applications including construction, manufacturing, and container capacity calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{ft3} = \frac{\pi \times r^2 \times h}{1728} \]

Where:

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

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

3. Importance of Cylinder Volume Calculation

Details: Accurate volume calculations are essential for material estimation, capacity planning, and structural design.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 1728?
A: There are 1728 cubic inches in a cubic foot (12 × 12 × 12), so we divide to convert from cubic inches to cubic feet.

Q2: Can I use this for other units?
A: This specific calculator works with inches for input and feet for output. Convert other units to inches first.

Q3: What's the accuracy of the calculation?
A: The calculator uses precise mathematical constants and shows results to 3 decimal places.

Q4: Does this work for oval or irregular cylinders?
A: No, this formula is specifically for right circular cylinders with consistent radius.

Q5: How can I calculate volume in gallons?
A: First calculate cubic feet, then multiply by 7.48052 to convert to gallons.