The formula to calculate the Circumsphere Radius of Tetrahedron given Height is:
\[ \text{Circumsphere Radius of Tetrahedron} = \frac{3}{4} \times \text{Height of Tetrahedron} \]
Where:
The Circumsphere Radius of Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere.
Let's assume the following value:
Using the formula:
\[ \text{Circumsphere Radius of Tetrahedron} = \frac{3}{4} \times 8 \]
Evaluating:
\[ \text{Circumsphere Radius of Tetrahedron} = 6 \]
The Circumsphere Radius of Tetrahedron is 6 meters.
| Height of Tetrahedron | Circumsphere Radius of Tetrahedron |
|---|---|
| 5 | 3.75 |
| 6 | 4.50 |
| 7 | 5.25 |
| 8 | 6.00 |
| 9 | 6.75 |
| 10 | 7.50 |