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Cylinder Cubic Yardage Calculator

Calculate the cubic yard volume of a cylinder for estimating concrete, soil, or other materials.

What this tool does

Calculate the cubic yard volume of a cylinder for estimating concrete, soil, or other materials. You fill in these fields: Unit of measurement, Diameter, and Height. It shows cylinder volume, cubic feet, and cubic meters.

Inputs

  • Unit of measurement: Choose one: Inches, Feet, Yards. Starts as Feet. The unit used for the diameter and the height.
  • Diameter (unit set by "Unit of measurement"): A number. Must be greater than 0. Read in the unit chosen with "Unit of measurement": Inches, Feet, Yards. Measure across the full width of the circle, not the radius.
  • Height (unit set by "Unit of measurement"): A number. Must be greater than 0. Read in the unit chosen with "Unit of measurement": Inches, Feet, Yards.

How to use

  1. Choose Inches, Feet, or Yards for "Unit of measurement".
  2. Enter the diameter.
  3. Enter the height.
  4. Read the result: cylinder volume, cubic feet, and cubic meters. It appears once every required field has a valid value.

Worked examples

Example 1. Inputs:

  • Unit of measurement: Feet
  • Diameter: 6 ft
  • Height: 4 ft

Results:

  • Cylinder volume: 4.18879 yd³
  • Cubic feet: 113.097336 ft³
  • Cubic meters: 3.20256 m³

How this is worked out: V = pi r^2 h. Diameter 6 ft gives radius 3 ft = 1 yd. Height 4 ft = 4/3 yd. V = pi x 1^2 x 4/3 = 4 pi / 3 = 4.1887902 cubic yards.

Example 2. Inputs:

  • Unit of measurement: Inches
  • Diameter: 36 in
  • Height: 36 in

Results:

  • Cylinder volume: 0.785398 yd³
  • Cubic feet: 21.20575 ft³
  • Cubic meters: 0.60048 m³

How this is worked out: 36 in = 1 yd. Radius = 0.5 yd, height = 1 yd. V = pi x 0.5^2 x 1 = pi / 4 = 0.7853982 cubic yards.

Example 3. Inputs:

  • Unit of measurement: Yards
  • Diameter: 2 yd
  • Height: 3 yd

Results:

  • Cylinder volume: 9.424778 yd³
  • Cubic feet: 254.469005 ft³
  • Cubic meters: 7.20576 m³

How this is worked out: Diameter 2 yd gives radius 1 yd. V = pi x 1^2 x 3 = 3 pi = 9.4247780 cubic yards.

Example 4. Inputs:

  • Unit of measurement: Feet
  • Diameter: 1 ft
  • Height: 1 ft

Results:

  • Cylinder volume: 0.0290888 yd³
  • Cubic feet: 0.785398 ft³
  • Cubic meters: 0.02224 m³

How this is worked out: 1 ft = 1/3 yd. Radius = 1/6 yd, height = 1/3 yd. V = pi x (1/6)^2 x (1/3) = pi / 108 = 0.0290888 cubic yards (equal to pi/4 cubic feet).

Limitations

  • Works for solid, perfectly round cylinders only. Oval or irregular shapes are not supported.
  • Gives the volume only. It does not convert to weight, bags or truckloads, and does not add an allowance for waste or settling.
  • The diameter and height must each be greater than 0 and use the one unit chosen above the fields.

FAQs

Q: Do I need to convert my measurements first?
A: No. Pick inches, feet or yards above the fields, and the calculator converts the diameter and height to yards.
Q: Should I enter the diameter or the radius?
A: Enter the diameter, which is the distance straight across the circle. The calculator halves it to get the radius.
Q: Why is the volume shown in cubic yards?
A: Concrete, soil and similar materials are often sold and ordered by the cubic yard. The cubic feet and cubic meters are shown too.
Q: Can I use this for a hollow pipe or tube?
A: No. It works for solid cylinders only. A hollow shape needs its inside volume subtracted separately.

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