Cylinder Calculator (V = πr²h)
Full cylinder calculator: volume πr²h, total and lateral surface 2πr(r+h).
- Example: r = 3 ft, h = 4 ft → V = 113.10 ft³, A = 131.95 ft².
Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.
How the Cylinder Calculator Works
Volume is base circle area times height; surface adds top, bottom and the unrolled side. Worked example: r = 3 ft, h = 4 ft → V = π × 9 × 4 = 113.10 ft³, lateral A = 2π × 3 × 4 = 75.40 ft², total A = 2π × 3 × (3 + 4) = 131.95 ft². Enter radius, not diameter — d = 6 ft means r = 3 ft.
- 1
Enter radius and height
Radius r (half the diameter) and height h, same units.
- 2
Calculate
Volume, lateral and total surface appear together.
- 3
Convert if needed
1 ft³ = 7.48 US gal, 1 m³ = 1000 L.
Use Cases
Water tanks, silos and drum capacity
Paint needed for pipes and cans (lateral area)
Concrete for cylindrical columns
Comparing container sizes in ft³ and liters
Tips
- 1
Lateral area unrolls into a 2πr × h rectangle
- 2
π ≈ 3.14159 — results round only at the end
- 3
Radius vs diameter is the #1 input error
Common Mistakes
Entering the diameter as radius — volume jumps 4×
Using lateral area when total area is needed (lids!)
Mixing ft radius with m height
Forgetting cubic units for volume
FAQs
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