Frustum Calculator (Truncated Cone)
Top Radius (r)
Bottom Radius (R)
Height (h)
A frustum is a truncated cone — a cone with the top cut off by a plane parallel to the base. It appears in architecture (towers, buckets) and engineering (funnels, lampshades).
- 1Volume = (πh/3)(R² + r² + Rr)
- 2Slant height l = √(h² + (R−r)²)
- 3Lateral surface = π(R+r)l
- 4Total surface = π[l(R+r) + R² + r²]
R=5, r=3, h=8=Volume ≈ 410.5, Lateral SA ≈ 201.1
R=10, r=5, h=12=Volume ≈ 2199.1
| R | r | h | Volume |
|---|---|---|---|
| 5 | 3 | 8 | 410.5 |
| 10 | 5 | 12 | 2199.1 |
| 8 | 4 | 10 | 1340.4 |
| 6 | 2 | 15 | 1319.5 |
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