There is a cone insribed in another cone, one upside down in the other. The two bases are parallel and the vertex of the smaller cone lies at the center of the larger cone's base. The height of the large cone is 12, and the radius of the large cone is 6. What values of radius and height will give the smaller cone the largest possible volume?

^^ Whaaa? How would I even start this? lol. Could anyone walk me through it? xD