Cylinder Cubic Footage Calculator
The Cylinder Cubic Footage Calculator is an essential tool for accurately determining the volume of cylindrical objects. This calculator is particularly useful in various industries, including manufacturing, construction, and landscaping, where understanding the cubic footage of cylindrical shapes is crucial for material estimation and planning.
How to Use the Cylinder Cubic Footage Calculator
Using the Cylinder Cubic Footage Calculator is straightforward. Input the radius (or diameter) and height of the cylinder in feet, and the calculator will return the volume in cubic feet. Additionally, it can convert the volume to gallons, liters, or cubic meters if needed.
Formula for Volume of a Cylinder
The formula for calculating the volume VVV of a cylinder is:V=πr2hV = \pi r^2 hV=πr2h
Where:
- VVV = Volume in cubic feet
- rrr = Radius of the cylinder (in feet)
- hhh = Height of the cylinder (in feet)
- π\piπ = Approximately 3.14159
If you have the diameter instead of the radius, you can calculate the radius by dividing the diameter by 2:r=d2r = \frac{d}{2}r=2d
Practical Example Table
The following table provides practical examples for calculating the volume in cubic feet for various cylindrical shapes. Each example displays the dimensions, the resulting volume in cubic feet, and a real-world application.
| Cylinder Type | Dimensions (ft) | Volume Calculation | Volume (cu ft) | Volume (gallons) | Application |
|---|---|---|---|---|---|
| Standard Cylinder | Radius: 2, Height: 5 | V = π × r² × h | 62.83 | 469.42 | Ideal for calculating the volume of a standard water tank with a radius of 2 feet and height of 5 feet. |
| Tall Cylinder | Radius: 3, Height: 10 | V = π × r² × h | 94.25 | 706.45 | Suitable for estimating the volume of a tall storage silo with a radius of 3 feet and height of 10 feet. |
| Short Cylinder | Radius: 1.5, Height: 4 | V = π × r² × h | 21.21 | 158.23 | Useful for determining the volume of a short, wide cylinder, like a barrel, measuring 1.5 feet in radius and 4 feet tall. |
| Large Cylinder | Radius: 4, Height: 8 | V = π × r² × h | 150.80 | 1131.93 | Perfect for calculating the volume of a large concrete pipe with a radius of 4 feet and height of 8 feet. |
| Pipe Cylinder | Diameter: 6, Height: 12 | V = π × r² × h | 169.65 | 1261.71 | Suitable for determining the volume of a cylindrical pipe with a diameter of 6 feet and height of 12 feet. |
| Water Tank Cylinder | Diameter: 5, Height: 7 | V = π × r² × h | 137.44 | 1026.65 | Useful for calculating the volume of a cylindrical water tank with a diameter of 5 feet and height of 7 feet. |
| Fuel Cylinder | Radius: 2.5, Height: 15 | V = π × r² × h | 117.81 | 880.03 | Helpful for estimating the volume of a fuel storage cylinder with a radius of 2.5 feet and height of 15 feet. |
| Drum Cylinder | Diameter: 3, Height: 4 | V = π × r² × h | 28.27 | 211.66 | Ideal for calculating the volume of a cylindrical drum used for storage with a diameter of 3 feet and height of 4 feet. |
| Small Cylinder | Radius: 1, Height: 6 | V = π × r² × h | 18.85 | 140.63 | Useful for determining the volume of a small cylindrical vase measuring 1 foot in radius and 6 feet in height. |
| Decorative Cylinder | Diameter: 2, Height: 3 | V = π × r² × h | 9.42 | 70.53 | Suitable for calculating the volume of a decorative cylindrical flower pot with a diameter of 2 feet and height of 3 feet. |
Detailed Explanation of Calculations
To help you understand how to arrive at the volume calculations, let’s break down a few examples in detail:
- Example 1 – Standard Cylinder with Radius 2 Feet and Height 5 Feet:
- Formula Used: V=πr2hV = \pi r^2 hV=πr2h
- Calculation: V=3.14159×(2)2×5=3.14159×4×5=62.83 cubic feetV = 3.14159 \times (2)^2 \times 5 = 3.14159 \times 4 \times 5 = 62.83 \text{ cubic feet}V=3.14159×(2)2×5=3.14159×4×5=62.83 cubic feet
- Conversion to Gallons: Volume in gallons=62.83×7.48=469.42 gallons\text{Volume in gallons} = 62.83 \times 7.48 = 469.42 \text{ gallons}Volume in gallons=62.83×7.48=469.42 gallons
- Application: This is ideal for calculating the volume of a water tank with a radius of 2 feet and a height of 5 feet.
- Example 2 – Tall Cylinder with Radius 3 Feet and Height 10 Feet:
- Formula Used: V=πr2hV = \pi r^2 hV=πr2h
- Calculation: V=3.14159×(3)2×10=3.14159×9×10=94.25 cubic feetV = 3.14159 \times (3)^2 \times 10 = 3.14159 \times 9 \times 10 = 94.25 \text{ cubic feet}V=3.14159×(3)2×10=3.14159×9×10=94.25 cubic feet
- Conversion to Gallons: Volume in gallons=94.25×7.48=706.45 gallons\text{Volume in gallons} = 94.25 \times 7.48 = 706.45 \text{ gallons}Volume in gallons=94.25×7.48=706.45 gallons
- Application: This calculation is suitable for estimating the volume of a tall storage silo with a radius of 3 feet and a height of 10 feet.
- Example 3 – Short Cylinder with Radius 1.5 Feet and Height 4 Feet:
- Formula Used: V=πr2hV = \pi r^2 hV=πr2h
- Calculation: V=3.14159×(1.5)2×4=3.14159×2.25×4=28.27 cubic feetV = 3.14159 \times (1.5)^2 \times 4 = 3.14159 \times 2.25 \times 4 = 28.27 \text{ cubic feet}V=3.14159×(1.5)2×4=3.14159×2.25×4=28.27 cubic feet
- Conversion to Gallons: Volume in gallons=28.27×7.48=211.66 gallons\text{Volume in gallons} = 28.27 \times 7.48 = 211.66 \text{ gallons}Volume in gallons=28.27×7.48=211.66 gallons
- Application: This example is useful for determining the volume of a short, wide cylinder, like a barrel, measuring 1.5 feet in radius and 4 feet tall.
- Example 4 – Large Cylinder with Radius 4 Feet and Height 8 Feet:
- Formula Used: V=πr2hV = \pi r^2 hV=πr2h
- Calculation: V=3.14159×(4)2×8=3.14159×16×8=150.80 cubic feetV = 3.14159 \times (4)^2 \times 8 = 3.14159 \times 16 \times 8 = 150.80 \text{ cubic feet}V=3.14159×(4)2×8=3.14159×16×8=150.80 cubic feet
- Conversion to Gallons: Volume in gallons=150.80×7.48=1131.93 gallons\text{Volume in gallons} = 150.80 \times 7.48 = 1131.93 \text{ gallons}Volume in gallons=150.80×7.48=1131.93 gallons
- Application: This calculation is perfect for determining the volume of a large concrete pipe with a radius of 4 feet and a height of 8 feet.
- Example 5 – Water Tank Cylinder with Diameter 5 Feet and Height 7 Feet:
- Calculation:
- First, convert diameter to radius: r=52=2.5 feetr = \frac{5}{2} = 2.5 \text{ feet}r=25=2.5 feet
- Then, use the volume formula: V=πr2h=3.14159×(2.5)2×7=3.14159×6.25×7=137.44 cubic feetV = \pi r^2 h = 3.14159 \times (2.5)^2 \times 7 = 3.14159 \times 6.25 \times 7 = 137.44 \text{ cubic feet}V=πr2h=3.14159×(2.5)2×7=3.14159×6.25×7=137.44 cubic feet
- Conversion to Gallons: Volume in gallons=137.44×7.48=1026.65 gallons\text{Volume in gallons} = 137.44 \times 7.48 = 1026.65 \text{ gallons}Volume in gallons=137.44×7.48=1026.65 gallons
- Application: This calculation helps estimate the volume of a cylindrical water tank with a diameter of 5 feet and a height of 7 feet.
- Calculation:
- Example 6 – Fuel Cylinder with Radius 2.5 Feet and Height 15 Feet:
- Calculation: V=πr2h=3.14159×(2.5)2×15=3.14159×6.25×15=117.81 cubic feetV = \pi r^2 h = 3.14159 \times (2.5)^2 \times 15 = 3.14159 \times 6.25 \times 15 = 117.81 \text{ cubic feet}V=πr2h=3.14159×(2.5)2×15=3.14159×6.25×15=117.81 cubic feet
- Conversion to Gallons: Volume in gallons=117.81×7.48=880.03 gallons\text{Volume in gallons} = 117.81 \times 7.48 = 880.03 \text{ gallons}Volume in gallons=117.81×7.48=880.03 gallons
- Application: Useful for estimating the volume of a fuel storage cylinder with a radius of 2.5 feet and a height of 15 feet.