Geometry
Conical Frustum Volume
Volume of a truncated cone.
Formula
Formula
V = ⅓ π h (R2 + R r + r2)
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| R | bottom radius | R ≥ 0 | length | input |
| r | top radius | 0 ≤ r ≤ R | length | input |
| h | height | h ≥ 0 | length | input |
| V | volume | V ≥ 0 | length³ | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenbottom R = 5, top r = 3, height h = 8
Result410.5014401
Example 2
Givenbottom R = 10, top r = 0, height h = 12
Result1256.637061