Cylinder Volume Calculator

Calculate cylinder volume in cubic feet, gallons, and liters, plus surface area.

Volume

141.37 cu ft

Surface Area

150.80 sq ft

Volume Conversions

Cubic Feet141.37
US Gallons1,057.53
Liters4,003.19
Surface Area150.80 sq ft

Use the Cylinder Volume Calculator above to calculate your results. Enter your values and see instant results — all calculations run in your browser.

Disclaimer: This calculator is for informational purposes only and does not constitute tax, financial, or legal advice. Results are estimates based on the information you provide and current rates. Always consult a qualified tax professional or financial advisor for advice specific to your situation.

How It Works

Our Cylinder Volume Calculator precisely determines the volume of cylindrical objects in cubic feet, gallons, and liters, alongside their surface area. This is crucial for optimizing storage in the 2026 agricultural sector, where a 10% increase in silo capacity due to accurate volume calculations could save farmers an estimated $5,000 per silo annually in storage costs, or for efficiently designing 2026 industrial fluid containers.

The calculator utilizes the standard formula for cylinder volume, V = πr²h, where 'r' is the radius and 'h' is the height. Surface area is calculated using A = 2πrh + 2πr², encompassing both the lateral surface and the two circular bases. These geometric principles are applied with high precision for accurate results.

Always ensure your radius and height measurements are in consistent units before inputting them to avoid calculation errors. A common mistake is mixing inches with feet, which can lead to a 1728-fold error in cubic feet. Remember that internal and external dimensions can significantly differ for thick-walled cylinders, impacting actual usable volume.

Example: Calculating Capacity for a 2026 Fuel Storage Tank

  1. 1 A new industrial fuel storage tank, costing $25,000, has an internal diameter of 12 feet and a height of 20 feet. We need to determine its volume in gallons to plan for a fuel delivery costing $3.50 per gallon.
  2. 2 First, calculate the radius: r = diameter / 2 = 12 ft / 2 = 6 ft. Then, apply the volume formula: V = π * (6 ft)² * 20 ft = 3.14159 * 36 sq ft * 20 ft.
  3. 3 This yields a volume of approximately 2261.94 cubic feet. To convert to gallons, we use the conversion factor: 1 cubic foot ≈ 7.48052 gallons. So, 2261.94 cu ft * 7.48052 gal/cu ft.
  4. 4 The tank has a capacity of approximately 16910.74 gallons. At $3.50 per gallon, a full tank would cost $59,187.59 to fill, providing crucial financial planning data for 2026 operations.

Source: Khan Academy · Last updated: April 2026

Frequently Asked Questions

How many gallons does a cylinder hold based on its dimensions?
Volume equals pi times radius squared times height (V = πr²h). For a cylinder with 3-foot radius and 5-foot height, volume is π x 9 x 5 = 141.37 cubic feet.
How many gallons does a cylindrical tank hold?
Calculate the volume in cubic feet (πr²h), then multiply by 7.48 to convert to US gallons. A 2-foot radius, 4-foot tall tank holds about 50.27 cubic feet or 376 gallons.
How do you find the surface area of a cylinder?
Total surface area equals 2πr² + 2πrh (two circles plus the side). For radius 3 and height 5, that is 2π(9) + 2π(15) = 56.55 + 94.25 = 150.80 square units.

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