Volume of a Cylinder in Cubic Feet Calculator

This calculator helps you determine the volume of a cylinder in cubic feet. Simply enter the dimensions of your cylinder, select the appropriate units, and get accurate results instantly. You can also view step-by-step calculations and convert the result to different volume units.

Features:

Calculate cylinder volume in cubic feet
Input dimensions in various units (feet, inches, cm, etc.)
View step-by-step calculations
Convert results to other volume units
Interactive 3D visualization

Formula for cylinder volume:

V = π × r² × h

Where:

V = Volume
r = Radius of the base
h = Height of the cylinder
π (Pi) ≈ 3.14159

Calculator

Input Type:

Radius Diameter

Radius:

Height:

Results

Enter the dimensions and click “Calculate” to see results

Step-by-Step Calculation

Step-by-step calculation will appear here after you click “Calculate”

Cylinder Visualization

Understanding the Cylinder

A cylinder is a three-dimensional shape with:

Two circular bases with equal radii
A curved lateral surface connecting the bases
Height is the perpendicular distance between the bases

Dimensions Shown:

Radius (r): –
Height (h): –

Volume: –

How to Use This Calculator

Step 1

Choose whether to enter the radius or diameter of your cylinder. Select the appropriate input type with the radio buttons.

Step 2

Enter the radius (or diameter) and height values. Select the measurement units for each dimension from the dropdown menus.

Step 3

Click “Calculate Volume” to see the result in cubic feet. You can then convert the result to other volume units using the dropdown menu.

Note:

If you enter dimensions in different units (e.g., radius in inches and height in feet), the calculator will automatically convert all values to feet before calculating the volume.

Example Calculations

Example 1: Water Tank

Find the volume of a cylindrical water tank with:

Radius: 3 feet
Height: 6 feet

Solution:

V = π × r² × h

V = 3.14159 × 3² × 6

V = 3.14159 × 9 × 6

V = 169.65 cubic feet

Example 2: Industrial Pipe

Calculate the volume of a cylindrical pipe with:

Diameter: 10 inches
Length (Height): 8 feet

Solution:

First, convert diameter to radius: 10 inches ÷ 2 = 5 inches

Convert radius to feet: 5 inches ÷ 12 = 0.4167 feet

V = π × r² × h

V = 3.14159 × 0.4167² × 8

V = 3.14159 × 0.1736 × 8

V = 4.36 cubic feet

Volume Unit Conversion Table

From	To Cubic Feet (ft³)	Conversion Factor
Cubic Inches (in³)	Multiply by 0.000578704	1 in³ = 0.000578704 ft³
Cubic Yards (yd³)	Multiply by 27	1 yd³ = 27 ft³
Cubic Centimeters (cm³)	Multiply by 0.0000353147	1 cm³ = 0.0000353147 ft³
Cubic Meters (m³)	Multiply by 35.3147	1 m³ = 35.3147 ft³
Liters (L)	Multiply by 0.0353147	1 L = 0.0353147 ft³
US Gallons (gal)	Multiply by 0.133681	1 gal = 0.133681 ft³

Frequently Asked Questions

To calculate the cubic feet of a cylinder:

Measure the radius (r) and height (h) of the cylinder in feet
Apply the formula: V = π × r² × h
Multiply the square of the radius by π (approximately 3.14159)
Multiply this result by the height
The result is the volume in cubic feet

If you have the diameter instead of radius, divide the diameter by 2 to get the radius.

To convert cubic feet to US gallons, multiply the volume in cubic feet by 7.48052.

Gallons = Cubic Feet × 7.48052

Example: 10 cubic feet = 10 × 7.48052 = 74.8052 gallons

The diameter is the distance across a circle through its center, while the radius is the distance from the center to the edge of the circle. The diameter is always twice the radius.

Diameter = 2 × Radius

Radius = Diameter ÷ 2

If you know the volume (V) and radius (r) of a cylinder, you can find the height (h) using this formula:

h = V ÷ (π × r²)

Example: If the volume is 100 cubic feet and the radius is 3 feet:

h = 100 ÷ (3.14159 × 3²) = 100 ÷ (3.14159 × 9) = 100 ÷ 28.27 = 3.54 feet

Calculating the volume of a cylinder has many practical applications:

Determining water tank capacity
Calculating fuel or liquid storage in cylindrical containers
Estimating material needed for cylindrical structures
Measuring air flow in cylindrical ducts or pipes
Determining the volume of cylindrical food containers
Calculating concrete needed for cylindrical pillars or posts
Planning for gas storage in cylindrical tanks

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Cubic Feet to Liters

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Cubic Feet to Gallons (UK)

Convert cubic feet to Imperial gallons used in the UK and Commonwealth.

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