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

HeightDiameter

Enter the Half Cylinder dimensions in inches above to calculate volume.

How to Measure a Half Cylinder Aquarium

  1. 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.
  2. 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.

  1. Calculate full cylinder: π × 10² × 18 = 5,654.87 cubic inches
  2. Divide by 2 for half cylinder: 5,654.87 ÷ 2 = 2,827.43 cubic inches
  3. Convert to gallons: 2,827.43 ÷ 231 = 12.24 US gallons
  4. 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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Frequently Asked Questions

How do I measure a half cylinder aquarium for volume calculation?
Measure from the flat back wall of the tank to the outermost point of the curved front to get the radius. Alternatively, measure the full width of the flat back panel and divide by two. Height is measured inside from bottom to water line.
What is the volume formula for a half cylinder tank?
The formula is V = (π × r² × H) ÷ 2, where r is the inside radius and H is the height.
How accurate is the half cylinder calculator?
Because a half-cylinder's volume is exactly half of a full cylinder's, the same radius-squaring sensitivity applies — a small error in radius has about double the effect on volume as the same error in height. Measure from the flat back wall to the farthest point of the curved front for the radius, since this reference line is more reliable than trying to estimate a center point on a half-circle.
Can I use this calculator for an acrylic half cylinder tank?
Yes, the formula is unaffected by material. Half-cylinder tanks are typically acrylic, molded as one curved piece bonded to a flat back panel — measure the inside radius from the flat back glass to the inner curved surface, not the outer curve, to avoid overstating volume once that radius is squared.
How much does a half cylinder aquarium weigh when full?
Multiply gallons by 8.34 lbs (freshwater) or 8.55 lbs (saltwater). Because the flat back panel of a half-cylinder tank typically sits against a wall, most of the tank's weight bears on the front curve and base rather than the back panel — make sure the stand supports the full curved footprint, not just the flat back edge.
Why is a half-cylinder aquarium always 50% of a full cylinder with the same radius and height?
A half-cylinder is formed by slicing a full cylinder exactly in half along its length, so its cross-sectional area is exactly half of the full circle's area (π × r² ÷ 2 instead of π × r²). Since the height doesn't change, the volume is also cut exactly in half — there's no approximation involved, it's an exact geometric relationship.
Can a half-cylinder aquarium sit flat against a wall without changing the volume formula?
Yes. The half-cylinder formula only depends on the radius and height, not on which surface faces the wall. Whether the flat back panel sits flush against a wall or the tank stands freely, the water volume is identical as long as the radius and height measurements are the same.