Cylinder Cubic Yardage Calculator

Calculate the volume of a cylinder in cubic yards. Enter the height and diameter to get instant results with visual diagrams and step-by-step calculations.

Calculate Cylinder Volume

How to Calculate Cylinder Volume in Cubic Yards

Converting cylindrical volumes to cubic yards is essential for many construction and landscaping projects, such as concrete footings, water tanks, and circular planters. This calculator helps you accurately determine the volume of any cylinder in both cubic feet and cubic yards.

Cylinder Volume Calculation Formulas

The key formulas for calculating cylinder volume are:

\[ V = \pi r^2 h \]

\[ \text{Cubic Yards} = \frac{\text{Cubic Feet}}{27} \]

Where:

  • V = Volume in cubic feet
  • r = Radius (diameter ÷ 2) in feet
  • h = Height in feet
  • π = 3.14159 (pi)
  • 27 = Conversion factor (1 cubic yard = 27 cubic feet)

Calculation Steps

  1. Measure the cylinder's diameter and height in feet
  2. Calculate the radius by dividing diameter by 2
  3. Calculate the circular base area using πr²
  4. Multiply base area by height to get cubic feet
  5. Convert to cubic yards by dividing by 27

Example Calculation

Problem:

Calculate the volume in cubic yards for a cylindrical tank with:

  • Diameter: 8 feet
  • Height: 12 feet

Solution:

  1. Calculate radius:
    \[ r = \frac{8 \text{ ft}}{2} = 4 \text{ ft} \]
  2. Calculate volume in cubic feet:
    \[ V = \pi \times 4^2 \times 12 \]
    \[ V = 3.14159 \times 16 \times 12 = 603.19 \text{ ft}^3 \]
  3. Convert to cubic yards:
    \[ \text{Cubic Yards} = \frac{603.19}{27} = 22.34 \text{ yd}^3 \]

Cylinder Diagram

Diameter Height

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