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Find the volume, surface area, and liquid capacity of any cylindrical object, from water tanks to PVC pipes.
Enter radius and height to
calculate volume
A cylinder is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface.
To find the volume, you calculate the area of the circular base (πr²) and then multiply it by how "stacked" or tall that circle is (height).
Cylinder calculations are mostly used in plumbing (pipes), industrial storage (silos, fuel tanks), and landscaping (above-ground pools).
Surface area is crucial when calculating how much paint, insulation, or wrapping material is needed to cover the outside of a cylinder.
A cylinder volume calculator helps you estimate capacity and material needs for real-world objects like tanks, pipes, silos, and above-ground pool components. Once you know the radius and height, the math converts directly into cubic volume and practical quantities like gallons and liters.
Know how much liquid or gas a cylinder can hold before you buy or install.
Estimate how much paint, coating, insulation, or wrap is needed to cover the outside.
Works with radius in either inches, feet, yards, meters, or centimeters—then outputs gallons and liters.
This calculator follows the standard cylinder geometry formulas. It uses your radius (r) and height (h), and Pi (π ≈ 3.14159).
This is the core equation for cubic volume (used for gallons and liters).
Measures the curved “side wall” area only (like the outside of a can).
Side wall plus the two circular ends (top and bottom).
Cubic feet
Used for US capacity.
Gallons (US)
1 gallon is used as the practical output.
Liters
Uses cubic meters/cubic centimeters conversions.
Manual math is simple: convert units, plug into the volume formula, and then convert cubic volume into capacity units.
Tip: most “paint the outside” projects match lateral area. Always confirm whether the ends are included.
Below are practical cylinder sizing scenarios you can validate manually before trusting the calculator output.
Radius r = 12 in (1 ft), Height h = 36 in (3 ft)
Then convert cubic feet → gallons.
Inner radius r = 1.5 in, Height h = 10 ft (120 in)
Convert in³ → ft³ → gallons/liters.
Diameter d = 24 in → radius r = 12 in, Height h = 8 ft
Then estimate total surface for coverage.
Use this table as a rough “sanity check” when your inputs are in the ballpark. (Exact results depend on your exact radius/height.)
| Scenario | Radius r | Height h | Volume (ft³) | Approx. Capacity (US gal) |
|---|---|---|---|---|
| Small Pipe | r = 1 in | h = 6 ft | ~5.24 | ~39 |
| Medium Tank | r = 1 ft | h = 3 ft | ~9.42 | ~70 |
| Workshop Reservoir | r = 2 ft | h = 5 ft | ~62.83 | ~470 |
| Large Storage Column | r = 3 ft | h = 8 ft | ~226.19 | ~1,689 |
Note: these values are approximate and intended for quick intuition. Always verify with the calculator for your exact dimensions.
The math is the same idea—subtract the inner void from the outer cylinder. While this page is a “single cylinder” calculator, the concept is useful when you’re estimating real pipe capacities.
These quick checks prevent the most common sizing errors: mixing radius and diameter, incorrect units, and rounding too early.
If you have diameter, divide by 2 to get radius. Since radius is squared, small mistakes become big volume errors.
Ensure r and h are in the same unit system before applying π × r² × h.
Keep full precision in intermediate steps (especially r²) before converting units or rounding final outputs.
The volume formula is V = π × r² × h, where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (Pi) is approximately 3.14159.
The diameter is the width of the circle straight across the center. The radius is the distance from the center to the edge. The radius is exactly half of the diameter (r = d / 2).
To find capacity, you first calculate the volume of the cylindrical shape in cubic feet or cubic inches. Because 1 cubic foot holds exactly 7.48 US gallons of liquid, you simply multiply your cubic foot volume by 7.48. This calculator does that math automatically for you.
The "Lateral" surface area only measures the side/wall of the cylinder (like the label on a soup can). The "Total" surface area includes the side wall plus the top and bottom circles.
Yes! A pipe is just a very long, narrow cylinder. By entering the inner diameter of the pipe and its total length (height), you can calculate exactly how much water or gas the pipe holds.
A hollow cylinder (like a thick pipe) is essentially a large cylinder with a smaller cylinder removed from the middle. You calculate the volume of the outer boundary, calculate the volume of the empty inner space, and subtract the inner from the outer.
Because the radius is squared in the volume formula (π × r² × h), doubling the radius will actually quadruple the total volume! In contrast, doubling the height only doubles the volume.
You can work the formula backward. Divide the known Volume by (π × r²). The result will be the vertical height of the cylinder.
Mathematically, we treat it as one for simple volume calculations. In reality, aluminum cans taper slightly at the top and feature a concave indentation at the bottom (the dome) designed to successfully withstand internal carbonation pressure without exploding.
Cylinders distribute internal pressure evenly outward against their curved walls without any sharp corners or edges where stress could rapidly concentrate. This prevents rupturing much better than a rectangular box would.
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