Cylinder Volume in Gallons Calculator
Calculate cylinder volume in gallons from radius or diameter and height. Converts to US gallons, UK gallons, liters, and cubic feet instantly.
Cylinder Volume in Gallons
Volume (US Gallons): -
Volume (UK Gallons): -
Volume (Liters): -
Volume (Cubic Feet): -
Volume (Cubic Inches): -
How to Calculate Cylinder Volume in Gallons
The cylinder volume gallons calculator will do all calculations and conversions for you! But if you want to calculate the volume of a cylinder by hand, you need to utilize the following formula:
V = π × r² × h
Where:
- V — Cylinder volume
- r — Cylinder radius
- h — Cylinder height
Converting to Gallons
However, since you are looking for cylinder volume in gallons, you will have to take an extra step and convert your unit of measurement. For instance, if the volume of a cylinder is in cubic inches, and you're interested in the volume of a cylinder in gallons, you need to:
- Take the number (the volume of a cylinder in cubic inches)
- Multiply this number by 0.0043 for converting into US gallons or by 0.0036 for converting into UK gallons
- Ta-da! You calculated the volume of a cylinder expressed in US gallons or UK gallons
Conversion Factors
Common conversion factors for cylinder volume:
- Cubic inches to US gallons: multiply by 0.004329
- Cubic inches to UK gallons: multiply by 0.003605
- Cubic feet to US gallons: multiply by 7.481
- Cubic feet to UK gallons: multiply by 6.229
- Liters to US gallons: multiply by 0.2642
- Liters to UK gallons: multiply by 0.2200
Examples
Example 1: Cylinder Volume with Radius in Inches
Problem: Find the volume in US gallons of a cylinder with radius 4 inches and height 10 inches.
Solution:
- Given: r = 4 in, h = 10 in
- Volume = π × 4² × 10 = 502.65 cubic inches
- Volume in US gallons = 502.65 × 0.004329 ≈ 2.176 US gallons
Example 2: Cylinder Volume with Diameter in Feet
Problem: A cylindrical water tank has a diameter of 6 feet and height of 8 feet. What is its volume in US gallons?
Solution:
- Given: diameter = 6 ft, so radius = 3 ft, h = 8 ft
- Volume = π × 3² × 8 = 226.19 cubic feet
- Volume in US gallons = 226.19 × 7.481 ≈ 1,692 US gallons
Example 3: Swimming Pool Volume
Problem: A circular above-ground pool has a diameter of 15 feet and depth of 4 feet. How many gallons of water does it hold?
Solution:
- Given: diameter = 15 ft, so radius = 7.5 ft, h = 4 ft
- Volume = π × 7.5² × 4 = 706.86 cubic feet
- Volume in US gallons = 706.86 × 7.481 ≈ 5,287 US gallons
Real-World Applications
Water Storage & Tanks
- Water Tanks: Calculate storage capacity for residential or commercial water tanks
- Swimming Pools: Determine how much water (and chemicals) needed to fill a pool
- Hot Tubs: Calculate water volume for heating cost estimates
- Rain Barrels: Estimate rainwater collection capacity
Industrial & Commercial
- Fuel Tanks: Calculate fuel storage capacity for vehicles or generators
- Chemical Storage: Determine storage requirements for liquids
- Silos: Calculate grain or liquid storage in cylindrical silos
- Pipelines: Estimate fluid volume in cylindrical pipes
Home & Garden
- Aquariums: Calculate water volume for cylindrical fish tanks
- Garden Features: Estimate water needed for fountains or ponds
- Planters: Determine soil volume needed for cylindrical planters
Frequently Asked Questions
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How do I find the volume of a cylinder in gallons, given the radius and height in feet?
To find the volume in gallons of a cylinder in gallons, if input measurements are in feet:
- Square the radius of the cylinder
- Multiply the radius of the cylinder by pi and the height of the cylinder
- Take the volume in cubic feet and multiply it by 7.481 if you want to convert it into US gallons or by 6.229 if you want to convert it into UK gallons
- That's all! The result is the volume of the cylinder expressed in US or UK gallons
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How do I find the volume of a cylinder in US gallons given the diameter and height?
To find the volume of a cylinder in US gallons, given the diameter:
- Divide the diameter of the cylinder by two, and square the number
- Take the number in step 1 and multiply it by pi and the height of the cylinder
- Convert the result in US gallons by multiplying your result with the appropriate conversion factor
- You're done! The result is the volume of the cylinder in US gallons
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What's the difference between US gallons and UK gallons?
US gallons and UK (Imperial) gallons are different units. One US gallon equals approximately 0.8327 UK gallons, while one UK gallon equals approximately 1.201 US gallons. The US gallon is 3.785 liters, while the UK gallon is 4.546 liters.
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How many gallons in a cylinder 12 inches in diameter and 24 inches tall?
For a cylinder with diameter 12 inches and height 24 inches: radius = 6 inches, volume = π × 6² × 24 = 2,714.34 cubic inches. Converting to US gallons: 2,714.34 × 0.004329 ≈ 11.75 US gallons.
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How do I calculate the volume of a horizontal cylinder?
For a horizontal cylinder lying on its side, the formula is the same: V = π × r² × h, where h is the length of the cylinder. The orientation doesn't change the total volume calculation.
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Can I use this calculator for any unit of measurement?
Yes! Just make sure your radius/diameter and height are in the same unit (both inches, both feet, both centimeters, etc.). The calculator will compute the volume and provide conversions to various units including US gallons, UK gallons, liters, and cubic measurements.
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