# Thread: tetrahedron inscribed in a sphere

1. ## tetrahedron inscribed in a sphere

can any on help with drawings or not,
prove that the maximum volume of a regular tetrahedron (prism with equilateral triangles faces) inscribed in a sphere of radius 5 cm is 125 cm^3. thanks in advance

2. ## Re: tetrahedron inscribed in a sphere

If you explain the level of math you are comfortable or knowledgeable working at, then we could proceed with appropriate help for your question.

3. ## Re: tetrahedron inscribed in a sphere

Teto : there is something wrong with your question....

4. ## Re: tetrahedron inscribed in a sphere

Originally Posted by majamin
If you explain the level of math you are comfortable or knowledgeable working at, then we could proceed with appropriate help for your question.
im woking at math 2 the proplem is from applications on local maximum and minimum by using derivative of a function i have a good knowledge in solid geometry .if there is something wrong with the final volume just ignore it i want the procedures whatever the final answer is .

5. ## Re: tetrahedron inscribed in a sphere

Originally Posted by MINOANMAN
Teto : there is something wrong with your question....
is that better ?
find the maximum volume of a regular tetrahedron (prism with equilateral triangles faces) inscribed in a sphere of radius 5 cm.