In a factory, 2 identical solid metal right circular cones of base radius h cm are melted and recast into 8 area base smaller identical solid right circular cones of base radius k cm and height 8 cm. It is given than the base area of a large circular cone is 4 times that of a small one.
(a) Find h:k.
(b)Find the height of the large circular cone.
(c) stephanie claims that a small circular eone is similar to a larger circular cone. Do you agree? Explain your answer.