Find the maximum volume of a cone that can be out of a solid hemisphere of radius r.
We have radius of Hemisphere is r.Radius of Hemisphere = Radius of Cone
and
Radius of Hemisphere = Height of Cone
h = r.....(equation 1)
We know that maximum volume of the cone (V) is = (1/3)πr²h
i.e,
V=13×πr3cubic units
Thus the maximum volume of cone is 13×πr3cubic units when take out from solid hemisphere of radius r.