Cylinder Cubic Yardage Calculator

How to Calculate Cylinder Volume

The cylinder volume calculator helps determine the cubic footage or cubic yards of a cylindrical shape. This is particularly useful for construction projects involving cylindrical structures, tanks, or columns.

Volume Calculation Formula

The formula used to calculate the volume of a cylinder is:

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

Where:

• \(V\) = Volume of the cylinder
• \(\pi\) = Mathematical constant pi (approximately 3.14159)
• \(r\) = Radius of the cylinder (diameter ÷ 2)
• \(h\) = Height of the cylinder

Calculation Steps

1. Measure the diameter and height of the cylinder
2. Calculate the radius by dividing the diameter by 2
3. Square the radius value
4. Multiply by pi (π)
5. Multiply by the height
6. Convert to desired units (cubic feet or cubic yards)

Example Calculation

Let's calculate the volume of a cylinder with:

• Diameter = 10 feet
• Height = 20 feet

Step-by-step solution:

1. Calculate radius: \[ r = \frac{diameter}{2} = \frac{10}{2} = 5 \text{ feet} \]
2. Square the radius: \[ r^2 = 5^2 = 25 \text{ square feet} \]
3. Multiply by π: \[ \pi r^2 = 3.14159 \times 25 = 78.54 \text{ square feet} \]
4. Multiply by height: \[ V = 78.54 \times 20 = 1,570.8 \text{ cubic feet} \]
5. Convert to cubic yards (optional): \[ V = \frac{1,570.8}{27} = 58.18 \text{ cubic yards} \]

Visual Representation

This diagram illustrates the key dimensions of our example cylinder and shows how the height and diameter determine the total volume.