Cylinder Volume Gallons Calculator
Calculate cylinder volume in US and UK gallons with radius, diameter, and height
Calculate Cylinder Volume in Gallons
Calculation Results
Formula Used:
Volume Formula: V = π × r² × h
Calculation: V = π × 0² × 0 = 0.00 in³
Gallon Conversion: 0.00 in³ × 0.004329 = 0.000 US gal
Gallon Conversion Factors
US Gallons
• 1 US gallon = 3.78541 liters
• 1 cubic foot = 7.48052 US gallons
• 1 cubic inch = 0.004329 US gallons
UK (Imperial) Gallons
• 1 UK gallon = 4.54609 liters
• 1 cubic foot = 6.22884 UK gallons
• 1 cubic inch = 0.003605 UK gallons
Example Calculations
Car Fuel Tank Volume
Problem: Calculate volume of a cylindrical fuel tank: radius = 8 inches, height = 18 inches
Formula: V = π × r² × h
Calculation: V = π × 8² × 18 = 3,619.1 cubic inches
Convert to US Gallons: 3,619.1 × 0.004329 = 15.67 US gallons
Result: The tank holds about 15.7 US gallons
Water Tank Dimensions
Problem: Find radius of tank that holds 50 US gallons with height = 3 feet
Convert Gallons: 50 US gal ÷ 7.481 = 6.68 cubic feet
Formula: r = √(V ÷ (π × h))
Calculation: r = √(6.68 ÷ (π × 3)) = √(0.708) = 0.841 feet = 10.1 inches
Result: Tank radius should be about 10.1 inches
Aquarium Volume Comparison
Problem: Compare cylindrical aquarium (diameter = 24 in, height = 20 in) in US vs UK gallons
Volume: V = π × 12² × 20 = 9,047.8 cubic inches
US Gallons: 9,047.8 × 0.004329 = 39.2 US gallons
UK Gallons: 9,047.8 × 0.003605 = 32.6 UK gallons
Result: 39.2 US gallons = 32.6 UK gallons (UK gallons are larger)
Gallon Types
US Gallon
3.785 liters
Used in United States
UK (Imperial) Gallon
4.546 liters
Used in United Kingdom, Canada
Size Comparison
1 UK gallon = 1.201 US gallons
UK gallons are about 20% larger
Common Applications
Fuel Tanks
Cars, motorcycles, boats, trucks
Water Storage
Tanks, heaters, pools, cisterns
Aquariums
Fish tanks, marine systems
Industrial
Chemical storage, processing
Quick Tips
US gallon = 231 cubic inches
UK gallon = 277.42 cubic inches
1 liter = 0.264 US gallons
Always specify gallon type for accuracy
Understanding Cylinder Volume in Gallons
Why Calculate in Gallons?
Gallons are the most common unit for measuring liquid capacity in everyday applications. Whether you're designing a fuel tank, water storage system, or aquarium, gallon measurements provide an intuitive understanding of how much liquid a cylinder can hold.
Conversion Process
The calculation involves two steps: first calculating the volume in cubic units using V = π × r² × h, then converting to gallons using the appropriate conversion factor based on your input units and desired gallon type.
US vs UK Gallons
It's crucial to specify which gallon type you need. US gallons (231 cubic inches) are smaller than UK gallons (277.42 cubic inches). This 20% difference can significantly impact capacity calculations for tanks and storage systems.
Key Conversion Factors
Cubic Inches to Gallons
• US: 1 in³ × 0.004329 = US gallons
• UK: 1 in³ × 0.003605 = UK gallons
Cubic Feet to Gallons
• US: 1 ft³ × 7.481 = US gallons
• UK: 1 ft³ × 6.229 = UK gallons
Common Applications
• Car fuel tank: 12-18 gallons
• Water heater: 40-80 gallons
• Swimming pool: 15,000-30,000 gallons