Quickly compute the volume of a truncated cone using the top and bottom radii along with the height. This frustum of a cone volume calculator helps you apply the truncated cone volume formula accurately.
Use this formula to determine the volume of a frustum based on the radii of the top and bottom circles and the height.
| Bottom Radius (R) | Top Radius (r) | Height (h) | Volume |
|---|---|---|---|
| 5 | 3 | 10 | 523.598776 |
| 8 | 4 | 12 | 1759.291887 |
| 6 | 2 | 5 | 261.799388 |
| 10 | 5 | 15 | 3141.592654 |
| 7 | 3 | 8 | 747.699527 |
To calculate the volume of a frustum without a calculator:
1. Square the bottom radius (R²) and top radius (r²).
2. Multiply the bottom radius by the top radius (R×r).
3. Sum these three values (R² + R×r + r²).
4. Multiply the sum by π and the height (h).
5. Divide the result by 3 to get the volume.
This Frustum of a Cone Volume Calculator automatically computes the volume to six decimal places. It is ideal for students, engineers, and anyone working with cone-shaped structures.
• Frustums are commonly found in buckets, lampshades, and truncated cones.
• The volume formula is derived from subtracting the volume of the small cone from the large cone.
• Knowing the frustum volume is important in construction and manufacturing.
• Frustum calculations are also used in liquid storage and engineering projects.
• The frustum is a truncated cone with parallel circular bases.