How to Calculate the Volume of a Hole

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A natural hole is almost always an irregular shape, but you can calculate its approximate volume. A hole is a cylinder, so to find the volume of a hole, calculate the volume of a cylinder. The volume of a cylinder is defined as the number of cubic units that will fill that cylinder. This formula is pi * radius squared * height = volume. This can predict the volume of a post hole, a golf hole or a hole you're digging.

Measure the Radius

Measure the radius of the hole. To do this, measure the diameter, then divide by two. If the diameter of your hole is 6 centimeters, then the radius is 3 centimeters.

Measure the Height

Measure the height of the hole from top to bottom. This height also represents how deep the hole is. Assume that the height or depth for your hole is 10 centimeters.

Calculate the Volume

Plug your values into the formula that calculates the volume of a cylinder. This formula is pi * radius squared * height = volume. Pi is 3.142. The radius is 3. The height is 10. So, plug in your values of 3.142 * 3^2 * 10 and calculate. The volume is 282.78 cubic centimeters.


About the Author

Beverlee Brick began writing professionally in 2009, contributing to various websites. Prior to this, she wrote curriculum and business papers in four different languages. As a martial arts and group fitness instructor, she has taught exercise classes in North America, Europe and Asia. She holds master's degrees in French literature and education.

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  • TongRo Images/TongRo Images/Getty Images

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