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Cylinder Calculator

Compute base area, lateral area, total surface area, and volume of a right circular cylinder.

Cylinder formulas

VolumeV = πr2h
Base areaB = πr2
Lateral (side) areaL = 2πrh
Total surface areaSA = 2πr(r + h)

Where r = radius, h = height

Worked examples

  1. A can has radius 3.5 cm and height 12 cm. Find its volume and surface area.

    1. V = π × 3.52 × 12 = 147π
    2. L = 2π × 3.5 × 12 = 84π
    3. SA = 2π × 3.5 × (3.5 + 12) = 108.5π

    Answer: V ≈ 461.81 cm³ (≈ 462 mL), L ≈ 263.89 cm², SA ≈ 340.86 cm²

Tips & common mistakes

  • 1 cm³ = 1 mL, and 1 ft³ ≈ 7.48 US gallons — handy for tanks and pipes.