Hole Volume Calculator

Find the volume of cylindrical post holes, footings, piers, and boreholes in cubic feet, cubic yards, and US gallons.

Cylindrical hole volume
Enter the finished diameter, depth, and number of equal holes.

About the hole volume calculator

A hole volume calculator treats each round, straight-sided hole as a cylinder. The cylinder formula multiplies pi by radius squared and depth. Diameter is divided by two to obtain radius and converted from inches to feet so all dimensions use the same unit. When several holes share the same dimensions, the single-hole volume is multiplied by the entered count. The result is displayed in cubic feet, cubic yards, and US gallons for convenient project planning. This calculation is useful for fence posts, deck footings, sign supports, piers, soil borings, and similar excavations. Measure diameter across the widest finished opening and depth from grade to the bottom. An auger designation is a useful starting point, but actual holes can widen in loose soil, become bell-shaped near the bottom, or lose material at the rim. Hand-dug holes are especially unlikely to be perfect cylinders. For concrete work, the hole volume is not always the same as the concrete order. A post, tube, reinforcement cage, or embedded hardware displaces some material, while over-excavation and spillage add demand. If a large solid post occupies the hole, calculate its submerged volume separately and subtract it. If the sides are irregular or the bottom is enlarged, divide the hole into simpler shapes or use conservative field measurements. Concrete suppliers also sell in practical increments, so an appropriate allowance and upward rounding are sensible. Cubic-foot results are convenient for bagged concrete yield comparisons. Cubic yards are normally used for ready-mix orders, with twenty-seven cubic feet in one cubic yard. Gallons help visualize capacity or estimate water in a bore, but the gallon figure is a volume conversion and says nothing about pumping conditions. Always confirm that excavation dimensions, frost depth, bearing area, reinforcement, and concrete strength meet local structural requirements. The calculator provides transparent geometry, not engineering approval. Soil capacity, uplift, lateral load, frost action, drainage, and code rules can govern footing design even when the volume is known accurately. Check every hole before placement, calculate groups with different dimensions separately, and compare the total with the stated yield of the selected material. Those steps turn a simple cylinder calculation into a practical and reviewable order estimate.

Hole volume examples

Common cylindrical excavations and their calculated capacity.

Hole dimensionsVolumeTypical use
12 in diameter × 4 ft deep3.14 ft³A single deep post hole.
Two holes, 24 in × 3 ft18.85 ft³A pair of larger pier excavations.
Six holes, 8 in × 3 ft6.28 ft³A small fence-post run.

How to calculate hole volume

  1. Measure the finished hole diameter in inches.
  2. Measure vertical depth in feet.
  3. Enter the number of holes with those same dimensions.
  4. Calculate the combined cylindrical volume.
  5. Add a field allowance and round to the material package or delivery increment.

Hole volume calculator FAQ

What formula does the calculator use?

It uses pi times radius squared times depth for each cylindrical hole. The result is multiplied by the number of equal holes.

How many cubic feet are in a cubic yard?

There are twenty-seven cubic feet in one cubic yard. Ready-mix concrete orders are commonly quoted in cubic yards.

Does a post reduce concrete volume?

Yes, an embedded solid post displaces concrete. Subtract the submerged post volume when that difference is important.

How should I handle a bell-shaped footing?

Calculate the shaft and enlarged base as separate geometric sections, then add them. A cylinder-only estimate will understate a flared base.

Should I order exactly the calculated amount?

Usually not, because excavations are irregular and some material is lost in handling. Add a suitable allowance and respect supplier minimums.