Cylindrical Aquarium Volume Calculator
Cylindrical aquariums offer a 360-degree viewing experience and serve as striking centerpiece displays. Column-style cylinder tanks are especially popular in lobbies and waiting rooms where viewers can walk around the entire tank. Enter the radius and height to compute the exact water volume.
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
Dimensions
Enter the Cylindrical dimensions in inches above to calculate volume.
How to Measure a Cylindrical Aquarium
- Radius: Measure the inside diameter at the widest point, from one inner wall to the opposite one, and divide it by two to get the radius. For an acrylic cylinder, measure inside the wall, not outside.
- 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
Cylindrical Volume Formula
V = π × r² × H
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 cylindrical aquarium with the following inside dimensions: 8-inch radius, 20 inches tall.
- Square the radius: 8² = 64
- Multiply by π: 3.14159 × 64 = 201.06 square inches
- Multiply by height: 201.06 × 20 = 4,021.24 cubic inches
- Convert to gallons: 4,021.24 ÷ 231 = 17.41 US gallons
- Convert to liters: 17.41 × 3.785 = 65.90 liters
Result: This cylindrical aquarium holds approximately 17.41 US gallons (65.90 liters) of water when filled to the measured height.
Why Radius Errors Matter More Than Height Errors
Because the cylinder formula squares the radius (π × r² × H), a measurement error in radius has roughly double the impact on volume as the same percentage error in height. A radius measured 5% too large — easy to do if you measure outside diameter instead of inside diameter — inflates volume by about 10%, while a 5% error in height only inflates volume by 5%. This is why the diameter measurement deserves the most care of the two inputs: measure the inside diameter at the widest point with a straight tape across the opening, divide by two, and double-check against a second measurement before entering the radius into the calculator.
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 circumference instead of diameter:Wrapping a tape measure around the outside of the tank gives circumference, not diameter — the two require different math (circumference ÷ π = diameter), and using circumference directly as the radius input will produce a wildly incorrect volume.
- Measuring outside diameter instead of inside diameter:Because radius is squared in the formula, using the outer diameter of an acrylic cylinder (larger than the inner diameter by twice the wall thickness) noticeably overstates volume. Always measure the inside diameter.
Related Calculators
Need a different shape? The aquarium volume calculator covers all 20 tank shapes in one place.
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