Cylinder Volume Calculator: Easy Tool for Precise Measurements
The calculator multiplies base area by height to give cylinder volume, then auto-converts to liters and U.S. gallons. Enter either radius or diameter plus height in the same unit, pick cm, m, in, or ft, and press “Calculate.” One cubic foot of space holds 28.3168 liters (NIST, https://physics.nist.gov/), so the tool’s liter and gallon readouts help you picture real-world capacity.
Cylinder Volume Calculator
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How to use the tool
Select a measurement type—choose Radius or Diameter depending on what you know.
Enter the base value
Radius example: 3 cm
Diameter example: 14 ft
Enter the height in the same unit
Height example with radius: 8 cm
Height example with diameter: 6 ft
Pick the unit—centimeters, meters, inches, or feet.
Press “Calculate Volume” to see cubic units, liters, and U.S. gallons instantly.
Formulas used
Radius given:
$$V = \pi r^2 h$$
Diameter given:
$$V = rac{\pi d^2 h}{4}$$
Worked examples
Example 1 – r = 3 cm, h = 8 cm
V = π·3²·8 = 226.19 cm³
Liters = 0.226 L
Gallons = 0.059 gal
Example 2 – d = 14 ft, h = 6 ft
r = 7 ft → V = π·7²·6 = 923.63 ft³
Liters = 26 165 L
Gallons = 6 910 gal
Quick-Facts
π ≈ 3.14159 (NIST DLMF, https://dlmf.nist.gov/)
1 ft³ = 28.3168 L (NIST, https://physics.nist.gov/)
1 U.S. gal = 3.78541 L (NIST, https://physics.nist.gov/)
Standard 55-gal drum holds 208.2 L (EPA Oil Spill Guidance, https://www.epa.gov/)
Common steel pipe diameters: 0.5–48 in (ANSI/ASME B36.10M-2018)
What is cylinder volume?
Cylinder volume is the three-dimensional space inside a right circular cylinder, calculated from base area and height (ISO 80000-3).
Which formula does the calculator use?
It applies $$V=\pi r^{2}h$$ for radius inputs or $$V= rac{\pi d^{2}h}{4}$$ for diameter inputs (DLMF, https://dlmf.nist.gov/).
How accurate are the results?
The tool keeps π to 15 digits, giving sub-milliliter accuracy for liter outputs (NIST, https://physics.nist.gov/).
Can I mix units?
No. Base and height must share a unit; mixing produces dimensional errors (ISO 80000-1).
How do I turn cm³ into liters?
Divide by 1 000 because 1 L = 1 000 cm³ (NIST, https://physics.nist.gov/).
Why does cylinder volume matter in industry?
Engineers size tanks, pipes, and drums by volume to ensure capacity and safety (API 650). “Accurate volume calculations are critical for containment integrity” (API Standard 650-2020).
Radius vs diameter—what’s faster?
Entering radius avoids the rac{d}{2} step, but both give identical results when done correctly (MathWorld Cylinder, https://mathworld.wolfram.com/).
Common mistakes to avoid?
Mixing inches and feet.
Typing diameter into the radius field.
Forgetting to convert ft³ to gallons.
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