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Homework: Section 4.4 Homework Question 14, 4.4.55 points Points: 0 of 1 Save A right circular cone is inscribed inside a larger right circular cone with a volume of 190 cm. The axes of the cones coincide and the vertex of the inner cone touches the center of the base of the outer cone. Find the ratio of the heights of the cones that maximizes the inner cone volume. The ratio of the height of the inner cone to the height of the outer cone is (Type an integer or a simplified fraction.)