The formula to calculate the Height of Tetrahedron given Circumsphere Radius is:
\[ \text{Height of Tetrahedron} = \frac{4}{3} \times \text{Circumsphere Radius of Tetrahedron} \]
Where:
The Height of Tetrahedron is the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex.
Let's assume the following value:
Using the formula:
\[ \text{Height of Tetrahedron} = \frac{4}{3} \times 6 \]
Evaluating:
\[ \text{Height of Tetrahedron} = 8 \]
The Height of Tetrahedron is 8 meters.
| Circumsphere Radius | Height of Tetrahedron |
|---|---|
| 5 | 6.67 |
| 6 | 8.00 |
| 7 | 9.33 |
| 8 | 10.67 |
| 9 | 12.00 |
| 10 | 13.33 |