Find the circular cone of maximum volume inscribed in a sphere of radius a.
I can visualize what the problem is trying to say, but the problem is..I don't know the solution Help
-thank you
I've attached a sketch of the situation.
1. You are dealing with a right triangle. According to Euklids theorem you have:
and :
2. The volume of the cone is calculated by:
3. Substitute :
and
4. You have now the volume as a function of h:
5. Calculate the first derivation of V(h) and solve V'(h) = 0 for h.
I've got