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1/2 the diameter of the auger bit (that's the radius) squared. Multiply that by pi (3.14 is close enough). That yields the area that the bit impacts. Multiply the area was just determined by the depth of the hole. The answer is the volume of the hole just dug. Be careful that all of the measurements are in the same units (all inches, for example). The volume would then be in cubic units (say, cubic inches). If in the US and buying concrete by the cubic yard, then you will have to convert the volume from cubic inches to cubic yards. There are 36 inches in a yard. Since we are discussing volume, we must convert that in 3 dimensions (length, width, depth), or 36 x 36 x 36 = 46,656 cu in / cu yd. Divide the volume of cubic inches already calculated by the conversion factor--46,656--and ouila! The result is the volume of the hole in cubic yards.

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Q: How do you figure volume of concrete in a radius auger hole?
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