From statement I, we know that the height of the initial cone is 20cm. However, nothing is said about the small cone. Hence, we cannot answer the question using statement A. So, we can eliminate choices (A) and (D).
We are down to choices (A), (B) or (D).
From Statement II, we know that the ratio of the volume of the small cone to that of the large cone is 1 : 15.
i.e. *π*r^{2}*h : *π*R^{2}*H is 1 : 15 (r is the base radius of the smaller cone and h is the height of the smaller cone)
or r^{2} * h : R^{2} * H is 1 : 15
From this information, we will not be able to find the answer to h. Hence, we can eliminate choice (A).
Combining the information in the two statements:
When a section is made the two cones are similar triangles. so =
R =
We know H = 20
h = * r
i.e., h^{3} = H^{3}. Substituting H = 20, we can get the value for h.
Choice (B) is therefore, the correct answer.
Correct Answer: If the question cannot be answered with statement I alone or with statement II alone, but can be answered if both statements are used together.