Half Cylinder Aquarium Volume Calculator
Half cylinder aquariums feature a flat back panel that sits flush against a wall and a curved front that provides wide-angle viewing. Often called D-shaped tanks, they combine the elegance of a full cylinder with the practicality of wall-mounted placement. Volume is exactly half that of a full cylinder with the same radius.
Use this calculator to get the water capacity before dosing medications or supplements, sizing a filter or heater, or planning water changes. For total system volume including a sump, use the sump volume calculator.
Formula and unit notes are checked against the methodology described on our About page.
V = (π × r² × H) ÷ 2
Dimensions
Enter the Half Cylinder dimensions in inches above to calculate volume.
How to Measure a Half Cylinder Aquarium
- Radius: Measure the inside distance from the flat back glass to the furthest point of the curved front glass. Alternatively, measure the full inside width of the flat back panel and divide it by two.
- Height: Measure from the inside bottom of the tank up to the water line.
Measure inside dimensions, glass to glass, inside any frame or trim, and measure each dimension twice.
Dimension labels: Radius, Height
Half Cylinder Volume Formula
V = (π × r² × H) ÷ 2
This formula calculates the interior volume in cubic units matching your input measurements. If you measure in inches, the result is cubic inches; divide by 231 to convert to US gallons, or multiply gallons by 3.785 for liters. If you measure in centimeters, the result is cubic centimeters; divide by 1,000 for liters.
Step-by-Step Example Calculation
Consider a half cylinder aquarium with the following inside dimensions: 10-inch radius, 18 inches tall.
- Calculate full cylinder: π × 10² × 18 = 5,654.87 cubic inches
- Divide by 2 for half cylinder: 5,654.87 ÷ 2 = 2,827.43 cubic inches
- Convert to gallons: 2,827.43 ÷ 231 = 12.24 US gallons
- Convert to liters: 12.24 × 3.785 = 46.33 liters
Result: This half cylinder aquarium holds approximately 12.24 US gallons (46.33 liters) of water when filled to the measured height.
Half-Cylinder vs Full Cylinder
A half-cylinder tank uses exactly half of a circle's cross-sectional area — the flat back panel cuts straight through the center of what would otherwise be a full cylinder. This makes its volume formula, (π × r² × H) ÷ 2, simply half of the full cylinder formula, π × r² × H, with no other adjustment needed. If you know a full cylinder's volume at a given radius and height, a half-cylinder of the same radius and height always holds exactly half that amount.
Water Volume Adjustments
Fill Height
The calculator above assumes you fill the tank to the full measured height. In practice, most aquarists keep the water level 1–2 inches below the rim to prevent overflow during water changes, when adding hands and equipment, or if fish splash. Use the fill height adjustment toggle in the calculator to enter your actual water line height for a more realistic volume estimate.
For tanks with open-top (rimless) designs, the gap between water surface and glass top is especially important to track. A 2-inch gap on a 20-inch tall tank reduces effective volume by 10%, which is significant for medication dosing.
Substrate Displacement
Gravel, sand, and planted substrates occupy space that would otherwise hold water. A 2-inch layer of gravel in a standard rectangular tank displaces roughly 5–8% of the total tank volume. Use the substrate displacement toggle in the calculator to subtract this volume from your water capacity estimate.
Rock and Decoration Displacement
Large rocks, driftwood, and dense decorations also displace water, which this calculator does not subtract. Use the aquarium displacement calculator to estimate how much.
For how glass thickness reduces interior volume on your specific tank size, see the glass thickness and volume loss guide.
Water Weight Estimate
The calculator displays estimated water weight for both freshwater (8.34 lbs per gallon) and saltwater (8.55 lbs per gallon at 1.025 specific gravity). These estimates help you determine whether your floor and stand can safely support the filled tank, substrate, and equipment combined.
Water weight estimates are approximate and based on standard conditions. Freshwater weight assumes pure water at 62 °F (16.7 °C) with a density of 8.34 lbs/gal (1.0 kg/L). Saltwater weight assumes a specific gravity of 1.025, typical of reef aquariums. Actual weight may vary depending on water temperature, salinity, dissolved minerals, and substrate displacement. Always verify that your aquarium stand and floor can support the total weight of the filled tank, substrate, equipment, and decorations before filling.
Common Measurement Mistakes
- Measuring outside dimensions: Glass or acrylic thickness ranges from 3 mm to 19 mm per panel. Using outside dimensions overstates volume, especially on smaller tanks where glass thickness is a larger proportion of total width.
- Mixing measurement units: Entering some dimensions in inches and others in centimeters produces nonsensical results. Use one unit system consistently and let the calculator handle conversions.
- Measuring the flat back width instead of the true radius:The flat back panel's full width equals the diameter, not the radius — divide it by two before entering it as the radius, or measure directly from the back wall to the curve's farthest point instead.
- Assuming a half-cylinder holds half the water of a same-diameter rectangular tank:A half-cylinder is exactly half of a full cylinder's volume, not half of a rectangular tank with the same width and depth. Comparing it to a rectangular footprint of similar size will give a misleading estimate.
Related Calculators
Need a different shape? The aquarium volume calculator covers all 20 tank shapes in one place.
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