Numbers · geometry · cylinderVolume of a cylinder — formula and calculator
Work out the volume of a cylinder with the formula V = πr²h — your numbers substituted and a diagram drawn. The surface area is calculated too. Units can be mixed, and the answer comes in the units you need, litres included.
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Calculator
enter the sizes — the formula and diagram follow02
Formula
and what each letter meansVolume
V = πr²h
Surface area
S = 2πr(r + h)
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Worked example
with real numbersGivenr = 3 cm, h = 10 cm
Solution
V = πr²h = 3.1416 × 3² × 10 = 282.743 cm³
S = 2πr(r + h) = 2 × 3.1416 × 3 × (3 + 10) = 245.044 cm²
Answer: volume — 282.7 cm³, surface area — 245 cm².
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Common mistakes
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Nearby shapes
ConeV = ⅓ πr²hSphereV = ⁴⁄₃ πr³PrismV = S₀ × hAnnulus (ring)S = π(R² − r²)CalculatorAll 19 shapes, the composite shape and hectares →
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