Corner Cylinder Aquarium Volume Calculator
Corner cylinder aquariums are quarter-circle tanks designed to tuck into a 90-degree room corner while presenting a curved viewing panel. They are an efficient use of otherwise dead corner space and create a visually interesting focal point. Volume is exactly one quarter of a full cylinder.
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) ÷ 4
Dimensions
Enter the Corner Cylinder dimensions in inches above to calculate volume.
How to Measure a Corner Cylinder Aquarium
- Radius: Measure along either flat back panel, from the inside corner to the edge where the curve begins; that distance is the radius. Both flat panels should be the same length.
- 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
Corner Cylinder Volume Formula
V = (π × r² × H) ÷ 4
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 corner cylinder aquarium with the following inside dimensions: 14-inch radius, 20 inches tall.
- Calculate full cylinder: π × 14² × 20 = 12,315.04 cubic inches
- Divide by 4 for quarter cylinder: 12,315.04 ÷ 4 = 3,078.76 cubic inches
- Convert to gallons: 3,078.76 ÷ 231 = 13.33 US gallons
- Convert to liters: 13.33 × 3.785 = 50.46 liters
Result: This corner cylinder aquarium holds approximately 13.33 US gallons (50.46 liters) of water when filled to the measured height.
Corner Cylinder as a Fraction of a Full Cylinder
A corner cylinder's footprint is a 90-degree wedge, which is exactly one quarter of a full 360-degree circle — so its volume formula, (π × r² × H) ÷ 4, is simply a full cylinder's formula divided by four. This makes it easy to sanity-check: if you know (or can estimate) what a full cylinder with the same radius and height would hold, a corner cylinder of the same dimensions holds exactly a quarter of that amount. The radius is measured along either flat wall-facing panel from the corner to where the curve begins — both panels should be equal in a true quarter-circle design, so measuring both is a useful accuracy check before calculating.
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.
- Using unequal flat panel measurements:Both flat back panels of a true quarter-circle corner cylinder should be the same length. If they differ, measure each and use the smaller value, or treat the tank as a custom shape rather than assuming a perfect quarter-circle.
- Confusing corner cylinder with corner prism:A corner cylinder has a curved quarter-circle front, while a corner prism (corner tank) has a flat diagonal front panel. The two use different formulas — check which type your tank actually has before calculating.
Related Calculators
Need a different shape? The aquarium volume calculator covers all 20 tank shapes in one place.
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