Cylinder Cubic Yardage Calculator
The Cylinder Cubic Yardage Calculator is a crucial tool for calculating the volume of cylindrical objects in cubic yards. This calculator is particularly useful in industries such as construction, landscaping, and manufacturing, where precise volume measurements are essential for material estimations, project planning, and resource allocation. With this tool, you can easily determine how much material you will need for tasks such as pouring concrete, filling planters, or estimating the capacity of storage tanks.
How to Use the Cylinder Cubic Yardage Calculator
Using the Cylinder Cubic Yardage Calculator is straightforward. Simply input the radius and height of the cylinder in the appropriate units (inches, feet, or meters), and the calculator will return the volume in cubic yards. The calculator can also convert volumes from cubic feet or cubic meters into cubic yards.
Volume Calculation Formula
The formula for calculating the volume of a cylinder is:V=π×r2×hV = π \times r^2 \times hV=π×r2×h
Where:
- VVV = Volume
- πππ ≈ 3.14159
- rrr = Radius of the base
- hhh = Height of the cylinder
To convert the volume from cubic feet to cubic yards, use the formula:Volume (cubic yards)=Volume (cubic feet)27\text{Volume (cubic yards)} = \frac{\text{Volume (cubic feet)}}{27}Volume (cubic yards)=27Volume (cubic feet)
Practical Example Table
The following table provides practical examples for calculating the volume in cubic yards for various cylindrical configurations. Each example displays the dimensions, the resulting volume in both cubic yards and cubic feet, and a real-world application.
| Cylinder Type | Radius (feet) | Height (feet) | Volume Calculation | Volume (cubic yards) | Volume (cubic feet) | Application |
|---|---|---|---|---|---|---|
| Standard Cylinder | 3 | 5 | V = π × r² × h | 14.14 | 380.13 | Useful for estimating the amount of concrete needed for a standard column or post. |
| Large Cylinder | 6 | 10 | V = π × r² × h | 113.10 | 3055.50 | Ideal for calculating the volume of large storage tanks or water features. |
| Small Cylinder | 1.5 | 2 | V = π × r² × h | 3.93 | 106.50 | Suitable for measuring the volume of small planters or containers. |
| Tall Cylinder | 2 | 8 | V = π × r² × h | 33.51 | 905.66 | Great for estimating the amount of soil needed for a tall planter or decorative column. |
| Short Cylinder | 4 | 1.5 | V = π × r² × h | 18.85 | 508.64 | Useful for calculating the volume of low, wide tanks or decorative garden features. |
| Wide Cylinder | 5 | 3 | V = π × r² × h | 39.27 | 1067.93 | Ideal for estimating the capacity of wide water tanks or large flower pots. |
| Composite Cylinder | 3.5 | 6 | V = π × r² × h | 70.72 | 1913.84 | Suitable for complex landscaping projects involving multiple cylindrical shapes. |
| Concrete Cylinder | 4 | 12 | V = π × r² × h | 150.80 | 4074.63 | Essential for calculating concrete requirements for heavy-duty cylindrical structures. |
| Silo Cylinder | 8 | 20 | V = π × r² × h | 471.24 | 12746.59 | Great for estimating the volume of agricultural silos or large storage tanks. |
| Tapered Cylinder | 2 | 10 | V = π × r₁² × h₁ + π × r₂² × h₂ | 42.47 | 1146.59 | Useful for calculating the volume of tapered cylinders in various applications, such as planters or containers. |
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 3 Feet and Height 5 Feet:
- Formula Used: V=π×r2×hV = π \times r² \times hV=π×r2×h
- Calculation: V=3.14159×(3)2×5≈3.14159×9×5≈141.37 cubic feetV = 3.14159 \times (3)² \times 5 \approx 3.14159 \times 9 \times 5 \approx 141.37 \text{ cubic feet}V=3.14159×(3)2×5≈3.14159×9×5≈141.37 cubic feet
- Volume in Cubic Yards: Volume (cubic yards)=141.3727≈5.23 cubic yards\text{Volume (cubic yards)} = \frac{141.37}{27} \approx 5.23 \text{ cubic yards}Volume (cubic yards)=27141.37≈5.23 cubic yards
- Application: This is useful for estimating the amount of concrete needed for a standard column or post.
- Example 2 – Large Cylinder with Radius 6 Feet and Height 10 Feet:
- Formula Used: V=π×r2×hV = π \times r² \times hV=π×r2×h
- Calculation: V=3.14159×(6)2×10≈3.14159×36×10≈1130.97 cubic feetV = 3.14159 \times (6)² \times 10 \approx 3.14159 \times 36 \times 10 \approx 1130.97 \text{ cubic feet}V=3.14159×(6)2×10≈3.14159×36×10≈1130.97 cubic feet
- Volume in Cubic Yards: Volume (cubic yards)=1130.9727≈41.85 cubic yards\text{Volume (cubic yards)} = \frac{1130.97}{27} \approx 41.85 \text{ cubic yards}Volume (cubic yards)=271130.97≈41.85 cubic yards
- Application: Ideal for calculating the volume of large storage tanks or water features.
- Example 3 – Small Cylinder with Radius 1.5 Feet and Height 2 Feet:
- Formula Used: V=π×r2×hV = π \times r² \times hV=π×r2×h
- Calculation: V=3.14159×(1.5)2×2≈3.14159×2.25×2≈14.14 cubic feetV = 3.14159 \times (1.5)² \times 2 \approx 3.14159 \times 2.25 \times 2 \approx 14.14 \text{ cubic feet}V=3.14159×(1.5)2×2≈3.14159×2.25×2≈14.14 cubic feet
- Volume in Cubic Yards: Volume (cubic yards)=14.1427≈0.52 cubic yards\text{Volume (cubic yards)} = \frac{14.14}{27} \approx 0.52 \text{ cubic yards}Volume (cubic yards)=2714.14≈0.52 cubic yards
- Application: Suitable for measuring the volume of small planters or containers.
- Example 4 – Tall Cylinder with Radius 2 Feet and Height 8 Feet:
- Formula Used: V=π×r2×hV = π \times r² \times hV=π×r2×h
- Calculation: V=3.14159×(2)2×8≈3.14159×4×8≈100.53 cubic feetV = 3.14159 \times (2)² \times 8 \approx 3.14159 \times 4 \times 8 \approx 100.53 \text{ cubic feet}V=3.14159×(2)2×8≈3.14159×4×8≈100.53 cubic feet
- Volume in Cubic Yards: Volume (cubic yards)=100.5327≈3.72 cubic yards\text{Volume (cubic yards)} = \frac{100.53}{27} \approx 3.72 \text{ cubic yards}Volume (cubic yards)=27100.53≈3.72 cubic yards
- Application: Great for estimating the amount of soil needed for a tall planter or decorative column.
- Example 5 – Wide Cylinder with Radius 5 Feet and Height 3 Feet:
- Formula Used: V=π×r2×hV = π \times r² \times hV=π×r2×h
- Calculation: V=3.14159×(5)2×3≈3.14159×25×3≈235.62 cubic feetV = 3.14159 \times (5)² \times 3 \approx 3.14159 \times 25 \times 3 \approx 235.62 \text{ cubic feet}V=3.14159×(5)2×3≈3.14159×25×3≈235.62 cubic feet
- Volume in Cubic Yards: Volume (cubic yards)=235.6227≈8.71 cubic yards\text{Volume (cubic yards)} = \frac{235.62}{27} \approx 8.71 \text{ cubic yards}Volume (cubic yards)=27235.62≈8.71 cubic yards
- Application: Ideal for estimating the capacity of wide water tanks or large flower pots.
- Example 6 – Tapered Cylinder with Radius 2 Feet and Height 10 Feet:
- Dimensions: Base radius r1=2r_1 = 2r1=2 feet, height h1=10h_1 = 10h1=10 feet, top radius r2=1r_2 = 1r2=1 foot, height h2=10h_2 = 10h2=10 feet.
- Volume Calculation: V=π×r12×h1+π×r22×h2V = π \times r_1² \times h_1 + π \times r_2² \times h_2V=π×r12×h1+π×r22×h2
- Calculation: V=π×(2)2×10+π×(1)2×10=40π+10π=50π≈157.08 cubic feetV = π \times (2)² \times 10 + π \times (1)² \times 10 = 40\pi + 10\pi = 50\pi \approx 157.08 \text{ cubic feet}V=π×(2)2×10+π×(1)2×10=40π+10π=50π≈157.08 cubic feet
- Volume in Cubic Yards: Volume (cubic yards)=157.0827≈5.82 cubic yards\text{Volume (cubic yards)} = \frac{157.08}{27} \approx 5.82 \text{ cubic yards}Volume (cubic yards)=27157.08≈5.82 cubic yards
- Application: Useful for calculating the volume of tapered cylinders in various applications, such as planters or containers.