Use this Frustum of a Cone Height Calculator to determine the height when volume and radii are known. It applies the frustum height formula in a simple and practical way.
This formula is derived from the volume equation of a frustum and allows you to calculate height of truncated cone when other values are known.
| Bottom Radius (R) | Top Radius (r) | Volume (V) | Height (h) |
|---|---|---|---|
| 5 | 3 | 523.598776 | 10.000000 |
| 8 | 4 | 1759.291887 | 12.000000 |
| 6 | 2 | 261.799388 | 5.000000 |
| 10 | 5 | 3141.592654 | 15.000000 |
| 7 | 3 | 747.699527 | 8.000000 |
To find the height manually:
1. Multiply the volume by 3.
2. Compute the expression (R² + R×r + r²).
3. Multiply the result by π.
4. Divide the first result by this value to get the height.
This Frustum of a Cone Height Calculator quickly computes height with precision up to six decimal places. It is useful in engineering, construction, and educational tasks.
If you already know volume and radii, this tool saves time and avoids manual errors when applying the frustum height formula.
• Height is the perpendicular distance between the two circular bases.
• Frustum geometry is widely used in containers and industrial design.
• The same formula works regardless of measurement units.
• Height plays a key role in both volume and surface area calculations.
• Frustums are often used to approximate complex shapes.