How to Calculate the Volume of an Auger

Use an auger to drill a cylindrical hole in the ground.
••• augers, used to dig deep foundations for a building image by Stephen Gibson from

Know precisely the size of hole an auger creates by determining its blade volume. Auger blades resemble a long corkscrew made of metal. The sides of the corkscrew are sharp to allow the auger to easily burrow through tough soil. A spinning auger blade has the shape of a cylinder and therefore creates cylindrical-shaped holes. The volume of the auger blade depends on its length as well as its radius. The radius of a cylinder measures the distance from its central axis to its edge.

    Slip on a pair of heavy work gloves to make sure you don't cut yourself on the auger blade.

    Measure the length of the auger blade in inches. For example, the blade might be 30.0 inches long.

    Determine the radius of the auger blade with a tape measure. Assume a radius of 3.0 inches for the sample exercise.

    Multiply the number pi times the square of the radius times the length to obtain the volume of the auger blade in cubic inches. This volume also equals the size of the hole the auger creates. Pi can be rounded to 3.14. Performing this step leads to 3.14 times 3.0 inches times 3.0 inches times 30.0 inches, or 847.8 cubic inches.

    Things You'll Need

    • Work gloves
    • Tape measure
    • Calculator

Related Articles

How to Calculate Volume of a Circular Cylinder
How to Calculate the Radius of a Pipe
How to Find the Radius of a Cylinder When Given the...
How to Calculate Overpull on a Drill Pipe
How to Calculate the Cubic Feet of a Hole
How to Figure the Weight of a Steel Tank
How to Calculate Cubic Inches in a Cylinder
How to Calculate the Tensile Capacity of a U-Bolt
How to Calculate the Volume and Circumference of a...
How to Calculate Hydraulic Cylinder Tonnage
How to Find the Radius of a Cone
How to Calculate the Height of a Cone From the Volume
How to Calculate Perimeter and Area Ratio
How to Determine the Diameter of a Circle
How to Calculate Oil Tank Volume
How to Calculate the Area of a Curved Surface
How to Convert Diameter to Square Centimeters
How to Calculate Circumference in Inches
How to Find the Volume of a Sphere in Terms of Pi
How to Calculate the Area of Steel