Tank Volume Calculator
Calculate tank volume for cylinders, rectangles, and spheres. Shows gallons, liters, cubic feet, and barrels. Supports partial fill levels.
This tank volume calculator determines the capacity of tanks in four common shapes: vertical cylinder, horizontal cylinder, rectangular, and spherical. Enter dimensions in feet, inches, or metres and get results in US gallons, imperial gallons, litres, cubic feet, cubic metres, and barrels. A partial fill slider shows how much liquid sits in the tank at any level from empty to full.
Estimates only. Always verify quantities with a professional before purchasing materials. Building projects must comply with local codes and regulations.
About Tank Volume Calculator
How Tank Volume Formulas Work
Each tank shape has its own volume formula. The calculator converts every input to a consistent base unit (cubic feet or cubic metres), then applies standard conversion factors to produce gallon and litre values.
| Shape | Formula | Variables |
|---|---|---|
| Vertical cylinder | V = pi x r² x h | r = radius, h = height |
| Horizontal cylinder | V = pi x r² x L | r = radius, L = length |
| Rectangular | V = L x W x H | L = length, W = width, H = height |
| Sphere | V = (4/3) x pi x r³ | r = radius |
Worked example - vertical cylinder: A residential water storage tank is 4 feet in diameter and 6 feet tall. The radius is 2 feet. Volume = pi x 2² x 6 = pi x 4 x 6 = 75.40 cubic feet. Converting to US gallons: 75.40 x 7.48052 = 564.0 gallons. Converting to litres: 75.40 x 28.3168 = 2,135.1 litres. That lines up with a standard 550-gallon poly tank sold for rainwater collection.
Worked example - rectangular: An IBC tote measures 40 x 48 x 46 inches. Converting to feet: 3.333 x 4.0 x 3.833 = 51.11 cubic feet. In US gallons: 51.11 x 7.48052 = 382.3 gallons. The rated capacity of a standard IBC tote is 275 gallons because the internal dimensions are smaller than the outer frame, but the maths confirms the formula works correctly against the outer shell volume.
Volume Unit Conversion Reference
The key conversion factor is 1 cubic foot = 7.48052 US gallons, derived from the NIST definition of 1 US gallon = 231 cubic inches and 1 cubic foot = 1,728 cubic inches (1,728 / 231 = 7.48052). One US gallon of water weighs 8.34 pounds at 62 degrees F. Imperial gallons are about 20% larger than US gallons, based on the metric definition of 1 imperial gallon = 4.54609 litres.
| From | To | Multiply By |
|---|---|---|
| 1 cubic foot | US gallons | 7.48052 |
| 1 cubic foot | Imperial gallons | 6.22884 |
| 1 cubic foot | Litres | 28.3168 |
| 1 US gallon | Litres | 3.78541 |
| 1 imperial gallon | Litres | 4.54609 |
| 1 imperial gallon | US gallons | 1.20095 |
| 1 barrel (oil) | US gallons | 42 |
| 1 cubic metre | Litres | 1,000 |
| 1 US gallon of water | Pounds | 8.34 |
Common Tank Sizes and Dimensions
Knowing standard tank dimensions makes it easier to verify your measurements or pick the right replacement. Propane tanks are only filled to 80% capacity to allow for gas expansion, so a 500-gallon propane tank actually holds about 400 gallons of usable propane.
| Application | Shape | Typical Dimensions | Capacity |
|---|---|---|---|
| Home water heater | Vertical cylinder | 20 in dia x 50 in tall | 40-50 US gallons |
| Rain barrel | Vertical cylinder | 23 in dia x 34 in tall | 55 US gallons |
| 120-gal propane tank | Horizontal cylinder | 18 in dia x 4.5 ft long | 120 gal (96 usable) |
| 250-gal propane tank | Horizontal cylinder | 30 in dia x 7.5 ft long | 250 gal (200 usable) |
| Above-ground oil tank | Horizontal cylinder | 2.5 ft dia x 5 ft long | 275 US gallons |
| IBC tote | Rectangular | 40 x 48 x 46 in (outer) | 275 US gallons |
| 500-gal propane tank | Horizontal cylinder | 37.5 in dia x 10 ft long | 500 gal (400 usable) |
| Residential water tank | Vertical cylinder | 4 ft dia x 6 ft tall | ~560 US gallons |
| Fish tank (large) | Rectangular | 6 ft x 2 ft x 2 ft | ~180 US gallons |
How Does Partial Fill Work?
The fill percentage slider multiplies total volume by the fill fraction. For vertical cylinders and rectangular tanks, this is straightforward: 50% fill means exactly half the volume. But for horizontal cylinders, the relationship between liquid height and volume is not linear. A horizontal cylinder tank that appears half-full by sight line may hold more or less than 50% depending on where the liquid level sits relative to the radius.
The exact partial fill volume for a horizontal cylinder uses the circular segment formula: V = L x r² x (theta - sin(theta)) / 2, where theta = 2 x arccos((r - f) / r), f is the fill height from the bottom, L is the tank length, and r is the radius. This calculator uses a linear percentage approximation, which is accurate enough for planning purposes but slightly over- or under-estimates at mid-fill levels for horizontal tanks.
| Fill Level | Volume (500 gal tank) | Typical Action |
|---|---|---|
| 100% | 500 gallons | Just delivered or filled |
| 75% | 375 gallons | Normal operating level |
| 50% | 250 gallons | Start planning a refill |
| 25% | 125 gallons | Schedule delivery soon |
| 10% | 50 gallons | Urgent - order immediately |
Propane delivery companies typically recommend scheduling a refill when the gauge reads 20-25%. Running a propane tank below 10% risks losing pilot lights and may require a leak test before the provider will refill it.
Septic Tank Sizing by Number of Bedrooms
Septic tanks are sized based on the number of bedrooms in a home, not the number of bathrooms. The Uniform Plumbing Code sets a minimum tank size of 750 gallons, though most US jurisdictions require at least 1,000 gallons for new installations. The general rule is to add 250 gallons for each bedroom beyond three.
| Bedrooms | Minimum Tank Size (gallons) | Estimated Daily Flow (GPD) |
|---|---|---|
| 1-2 | 1,000 | 300-400 |
| 3 | 1,000 | 450 |
| 4 | 1,250 | 600 |
| 5 | 1,500 | 750 |
| 6 | 1,750 | 900 |
State and county regulations vary. Always check with your local health department before sizing a septic system. Pennsylvania, for example, requires a minimum daily flow of 400 GPD for a single-family dwelling, with an additional 100 GPD per bedroom beyond three.
Water Storage Planning
The EPA estimates the average American uses 82 gallons of water per day at home, with a typical family of four using over 300 gallons daily. About 70% of that goes to indoor use (showers, toilets, laundry, dishwashing) and 30% to outdoor use (irrigation, car washing). For off-grid or emergency storage, the numbers break down like this:
| Use | Daily Per Person | Family of 4 (weekly) |
|---|---|---|
| Drinking and cooking | 1-2 gallons | 28-56 gallons |
| Basic hygiene | 5-10 gallons | 140-280 gallons |
| Full household use | 50-100 gallons | 1,400-2,800 gallons |
| Emergency backup (3 days) | 1 gallon minimum | 12 gallons minimum |
For emergency preparedness, FEMA recommends storing at least 1 gallon per person per day for a minimum of 3 days. A family of four should keep at least 12 gallons on hand, though 14 days of supply (56 gallons) is a more practical target for areas prone to extended power outages or natural disasters. Many families store water in 55-gallon drums or stacked 5-gallon containers, both of which can be verified using this calculator.
Rainwater Collection and Tank Sizing
Rainwater harvesting tanks are sized based on roof area and local rainfall. The standard formula is: gallons collected = roof area (sq ft) x rainfall (inches) x 0.623. A 1,500 square foot roof in an area that gets 1 inch of rain collects roughly 935 gallons per storm. Most residential rainwater systems use tanks between 500 and 5,000 gallons, with 2,500-3,000 gallons being a common choice for homes that supplement but do not fully replace their municipal water supply.
Worked example: A home in the Dallas-Fort Worth area has a 2,000 square foot roof. Average annual rainfall is about 37 inches. Potential annual collection = 2,000 x 37 x 0.623 = 46,102 gallons. That does not all arrive at once, though. The wettest month (May, roughly 5 inches) would yield about 6,230 gallons, so a 5,000-gallon tank would capture most of a single heavy month. The square footage calculator can help measure roof area for this calculation.
Choosing a Tank Shape
| Shape | Advantages | Common Uses |
|---|---|---|
| Vertical cylinder | Small footprint, easy to read level gauges, gravity-fed pressure | Water storage, water heaters, rain collection |
| Horizontal cylinder | Low profile, stable on trailers, fits under structures | Fuel storage, propane, transport tanks |
| Rectangular | Space-efficient, stackable, fits tight spaces | Aquariums, IBC totes, custom-built tanks |
| Sphere | Maximum volume per surface area, even pressure distribution | LPG storage, industrial pressure vessels |
Vertical cylinders are the most common residential choice because they take up less ground space and produce better gravity-fed water pressure. Horizontal cylinders are standard for propane and fuel oil because they can sit low to the ground or be buried. Spherical tanks are rare in residential settings and mostly appear in industrial LPG and chemical storage where pressure containment matters.
Tank Weight When Full
Water weighs 8.34 pounds per US gallon, so a full tank can be surprisingly heavy. A 500-gallon water tank weighs about 4,170 pounds (nearly 2 tonnes) when full, plus the weight of the tank itself. Fuel oil is slightly lighter at about 7.2 pounds per gallon, and propane is lighter still at roughly 4.2 pounds per gallon. Always confirm that the floor, stand, or pad under the tank can handle the total loaded weight before filling.
| Liquid | Weight per US Gallon | 500-Gallon Tank Weight (liquid only) |
|---|---|---|
| Water | 8.34 lbs | 4,170 lbs (1,892 kg) |
| Diesel fuel | 7.1 lbs | 3,550 lbs (1,610 kg) |
| Heating oil | 7.2 lbs | 3,600 lbs (1,633 kg) |
| Propane (liquid) | 4.2 lbs | 2,100 lbs (953 kg) |
| Gasoline | 6.1 lbs | 3,050 lbs (1,383 kg) |
For bulk material estimates (gravel, mulch, soil), the cubic yards calculator converts area measurements to cubic yards. For general geometric volume calculations covering cones, pyramids, and other shapes, the volume calculator handles those. All calculations run entirely in your browser with no data sent to any server.
Sources
Frequently Asked Questions
How do I calculate the volume of a cylindrical tank?
Multiply pi (3.14159) by the radius squared, then multiply by the height. For a tank 4 feet in diameter and 6 feet tall, the volume is 3.14159 x 2 x 2 x 6 = 75.4 cubic feet, which equals about 564 gallons.
How many gallons are in a cubic foot?
One cubic foot holds 7.48 US gallons. To convert cubic feet to gallons, multiply by 7.48. One cubic foot also equals about 28.32 liters.
How do I calculate a partially filled tank?
For a simple estimate, calculate the full tank volume and multiply by the fill percentage. For example, a 500-gallon tank at 75% holds about 375 gallons. Use the fill level slider in this calculator for quick partial volume estimates.
What is the difference between US gallons and imperial gallons?
One US gallon equals about 3.785 liters, while one imperial gallon equals about 4.546 liters. An imperial gallon is about 20% larger than a US gallon. This calculator shows both units.
How big of a water tank do I need for my house?
For a typical residential backup water supply, a 200-500 gallon tank is common. For full off-grid use, plan for 50-100 gallons per person per day. A family of four using 80 gallons each would need at least a 320-gallon daily supply.
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