Volume Conversion Calculator – Convert Any Volume Unit Instantly
The Volume Conversion Calculator on MyTimeCalculator is a complete, multi-mode tool that helps you convert between metric, imperial, US customary, UK imperial, cooking, dry, liquid, and engineering volume units. It also includes tank volume calculators, pool volume estimators, and barrel/drum volume calculations. This article explains all volume formulas, unit relationships, conversion rules, geometric volume equations, and real-world examples.
Volume represents the three-dimensional space occupied by an object or substance. Whether you measure liquid, gas, dry goods, soil, concrete, pool water, tank capacity, or industrial fluids, volume units help quantify how much space is filled. Different industries use different units, so having a fast converter ensures accuracy.
What Is Volume?
Volume measures how much space an object or substance occupies. Mathematically, volume is expressed in cubic units. For example:
For irregular shapes or liquids, other formulas are used. All volume units ultimately convert to cubic meters (m³), the SI base unit for volume.
Main Volume Units and Their Relationships
There are several systems of volume measurement:
- Metric (SI): m³, cm³, mm³, liters (L), milliliters (mL)
- US Customary Liquid: gallons, quarts, pints, cups, fluid ounces
- US Customary Dry: dry gallons, pecks, bushels
- UK Imperial: imperial gallons, pints
- Cubic Units: cubic inches, cubic feet, cubic yards
Each system has its own structure. For example, the metric system is based on powers of ten, while US and UK gallon systems come from historical definitions.
Key Metric Conversion Factors
Metric volume units convert simply:
Since powers of ten are used, metric volume conversions are fast and intuitive.
US Liquid Volume Conversion Factors
- 1 US gallon = 3.785411784 liters
- 1 US quart = 0.946352946 liters
- 1 US pint = 0.473176473 liters
- 1 US fluid ounce = 29.5735295625 milliliters
- 1 US cup = 236.5882365 milliliters
UK Imperial Volume Conversion Factors
- 1 UK (Imperial) gallon = 4.54609 liters
- 1 UK pint = 568.26125 milliliters
Note that UK gallons differ significantly from US gallons.
Cubic Unit Conversions
- 1 cubic foot (ft³) = 0.028316846592 m³
- 1 cubic inch (in³) = 16.387064 cm³
- 1 cubic yard (yd³) = 0.764554857984 m³
Dry Volume Units
Dry goods such as grain, fertilizer, produce, and soil often use dry units:
- 1 US bushel = 35.23907016688 liters
- 1 US peck = 8.80976754172 liters
- 1 US dry gallon = 4.40488377086 liters
How the Volume Converter Works
The tool converts all values through cubic meters (m³) as a neutral reference. When you enter a value in any unit, the calculator converts it internally to m³, then outputs the result in the selected target unit.
Formula for Converting Between Units
This ensures accurate, precise, consistent conversions across all systems.
Tank Volume Calculator – All Shapes
The tool includes a complete tank volume system, covering rectangular, vertical cylindrical, and horizontal cylindrical tanks (including partially filled tanks).
Rectangular Tank Volume Formula
Where:
- L = length
- W = width
- H = height
Vertical Cylindrical Tank Formula
This formula applies to vertical water tanks, silos, and large storage drums.
Horizontal Cylindrical Tank (Partially Filled)
This shape requires segment area integration. The formula used is:
Where:
- R = radius of tank
- L = length of tank
- θ = 2 × arccos((R − h)/R)
- h = fill depth
The calculator automatically determines the segment area and fills in the correct geometry.
Pool Volume Calculator – Rectangular, Circular, and Oval
Pools come in several standard shapes, each requiring different formulas.
Rectangular Pool Formula
Circular Pool Formula
Oval Pool Formula
Where a and b are half the long and short dimensions.
Barrel and Drum Volume
The calculator includes both standard 55-gallon drum volumes and custom cylindrical barrels.
Custom Barrel Formula
You may also calculate partial fill based on percentage.
Examples of Volume Calculations
Example 1: Converting Gallons to Liters
Convert 12 US gallons to liters:
Example 2: Pool Volume
A rectangular pool is 25 ft by 12 ft and 5 ft deep:
Convert to gallons:
Example 3: Cylindrical Tank
Radius = 1.2 m, Height = 3 m:
Example 4: Dry Volume
Convert 2 bushels to liters:
Understanding Liquid vs Dry vs Solid Volumes
Liquid Volumes
Used for water, beverages, chemicals, milk, oil, etc.
Dry Volumes
Used for agricultural grains, fertilizers, soil, produce.
Solid Volumes
Used for concrete, lumber, stone, tank contents, pool capacity.
Advanced Volume Concepts
Volume by Integration
More complex shapes require calculus. The horizontal cylinder formula used in the calculator comes from integrating the area of a circular segment.
Volume of Composite Shapes
If an object contains multiple shapes, total volume is:
Volume Scaling Rule
If length scales by factor k:
This is why small changes in dimension cause large changes in volume.
Benefits of Using the Volume Conversion Calculator
- Accurate, real-time conversions
- Handles over 20+ volume units
- Includes tank, pool, and barrel geometry
- Fast, precise engineering calculations
- Ideal for construction, plumbing, chemistry, cooking, agriculture, and physics
- Supports industrial tanks and custom measurements
How to Use the Calculator
- Select the conversion mode.
- Enter your value.
- Select the units.
- View instant conversions.
- Use tank or pool modes for geometry-based calculations.
Volume Conversion FAQs
Frequently Asked Questions
Common questions about volume conversion, unit relationships, and tank geometry.
The SI base unit of volume is the cubic meter (m³). Many other units convert to m³.
1 cubic meter = 1000 liters.
No. UK gallons are larger (4.54609 L) than US gallons (3.785411784 L).
Liquid gallons measure fluids; dry gallons measure dry goods and produce. They are not equal.
It depends on tank shape. Rectangular uses L×W×H, cylindrical uses πr²h, and horizontal cylinders use circular segment formulas.
Use the rectangular, circular, or oval formulas depending on your pool shape. The calculator includes all modes.
Yes, it includes cups, tablespoons, teaspoons, and fl oz.
Yes, it includes dry gallons, pecks, and bushels.
The calculator includes a 55-gallon drum and custom cylindrical barrels.
Yes. It uses exact conversion constants for precise results.
Yes. The tool supports industrial units, tank shapes, and engineering-grade precision.