This calculator converts all inputs to feet before calculating the volume in cubic feet.

Here’s a comprehensive table with all the essential information about circular cubic feet (volume of a cylinder):

Aspect

Information

Formula

V = π * r² * h

Where

V = Volume, r = radius, h = height

π (pi) value

Approximately 3.14159

Units

Cubic feet (ft³)

Key Conversions:

From Cubic Feet (ft³)

To

Multiply by

1 ft³

Cubic inches (in³)

1,728

1 ft³

Cubic meters (m³)

0.0283168

1 ft³

Liters (L)

28.3168

1 ft³

US Gallons

7.48052

1 ft³

Imperial Gallons

6.22884

Common Cylinder Volumes:

Radius (ft)

Height (ft)

Volume (ft³)

1

1

3.14

2

1

12.57

3

1

28.27

5

10

785.40

10

20

6,283.19

Important Points:

The volume is highly sensitive to changes in radius due to the squared term.

Doubling the radius increases the volume by a factor of 4.

Doubling the height doubles the volume.

Applications:

Water tanks

Fuel storage

Industrial silos

Swimming pools

Civil engineering projects

Calculation Tips:

Always use consistent units for radius and height.

For precision, use more decimal places of π in calculations.

When working with large numbers, scientific notation can be helpful.

Related Formulas:

Aspect

Formula

Surface Area of Cylinder

A = 2πr² + 2πrh

Circumference of Base

C = 2πr

Unit Conversions for Dimensions:

From

To Feet

Multiply by

Inches

Feet

1/12 (0.0833333)

Meters

Feet

3.28084

Centimeters

Feet

0.0328084

Practical Considerations:

In real-world applications, account for material thickness if relevant.

For open-top cylinders (like tanks), the volume formula remains the same.

For tapered cylinders, use the average radius or more complex formulas.

This table and additional information provide a comprehensive overview of circular cubic feet calculations, including key formulas, conversions, and practical considerations. This knowledge is crucial for engineers, architects, and professionals working in fields where cylindrical volume calculations are common.