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.