The formula to calculate the base circumference of a cone given its volume is:
\[ C_{\text{Base}} = 2 \pi \sqrt{\left(\frac{3V}{\pi h}\right)} \]
Where:
The base circumference of a cone is the total length of the boundary of the base circular surface of the cone.
The volume of a cone is the total quantity of three-dimensional space enclosed by the entire surface of the cone.
The height of a cone is the distance between the apex of the cone and the center of its circular base.
Let's assume the following values:
Using the formula:
\[ C_{\text{Base}} = 2 \pi \sqrt{\left(\frac{3 \times 520}{\pi \times 5}\right)} \approx 62.6156 \, \text{meters} \]
The base circumference is approximately 62.6156 meters.
| Volume (cubic meters) | Height (meters) | Base Circumference (meters) |
|---|---|---|
| 500 | 4 | 68.6468 |
| 500 | 5 | 61.3996 |
| 500 | 6 | 56.0499 |
| 510 | 4 | 69.3299 |
| 510 | 5 | 62.0106 |
| 510 | 6 | 56.6076 |
| 520 | 4 | 70.0063 |
| 520 | 5 | 62.6156 |
| 520 | 6 | 57.1599 |
| 530 | 4 | 70.6763 |
| 530 | 5 | 63.2148 |
| 530 | 6 | 57.7069 |
| 540 | 4 | 71.3399 |
| 540 | 5 | 63.8083 |
| 540 | 6 | 58.2488 |