What must be the altitude of the inscribed cone in order to have the largest possible volume?
A right circular cone is to be inscribed in another right circular cone of volume #3m^3# and altitude #2m# , with the same axis and with the vertex of the inner cone touching the base of the outer cone.
*** I would like to do it by myself first. But I'm just thinking if these 2 cone are similar in this case.
A right circular cone is to be inscribed in another right circular cone of volume
*** I would like to do it by myself first. But I'm just thinking if these 2 cone are similar in this case.
1 Answer
Explanation:
Considering the external cone as
and the internal cone as
now speaking in volumes
and now
and solving for
the first value corresponds to a minimum (
This for