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A cone fills exactly one-third of its matching cylinder: V = πr²h/3. Enter radius and height; the tool also shows the full cylinder's volume for comparison.
V = πr²h / 3 — enter dimensions, get the result with steps.
V = πr²h / 3
| Symbol | Meaning |
|---|---|
| r | Base radius |
| h | Vertical height |
r = 6, h = 10 → cylinder 1130.9734, cone = 376.9911.
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By Cavalieri's principle / calculus — the cross-sections scale quadratically, integrating to ⅓.
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Content updated: September 2026