Exercise :: Volume and Surface Area  Data Sufficiency 1
 Volume and Surface Area  Important Formulas
 Volume and Surface Area  General Questions
 Volume and Surface Area  Data Sufficiency 1
 Volume and Surface Area  Data Sufficiency 2
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
 Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
 Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
 Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
 Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
 Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
1. 


Answer: Option C Explanation: Given, height = 32 m. I gives, area of the base = 154 m^{2}. Volume = (Area of the base x Height) = (154 x 32) m^{3}. Thus, I alone gives the answer. II gives, radius of the base = 7 m.
Thus, II alone gives the answer. Correct answer is (C). 
2. 


Answer: Option D Explanation: I gives, any two of l, b, h are equal. II gives, lbh = 64. From I and II, the values of l, b, h may be (1 ,1 , 64), (2 ,2 ,16), (4, 4, 4). Thus, the block may be a cube or cuboid. Correct answer is (D). 
3. 


Answer: Option C Explanation: I gives, h = 28 m and r = 14. Capacity = r^{2}h, which can be obtained. Thus, I alone gives the answer. II gives, r^{2} = 616 m^{2} and h = 28 m. Capacity = (r^{2} x h) = (616 x 28) m^{3}. Thus, II alone gives the answer. Correct answer is (C). 
4. 


Answer: Option D Explanation: II gives the value of r. But, in I, the breadth of rectangle is not given. So, we cannot find the surface area of the cone. Hence, the height of the cone cannot be determined. Correct answer is (D). 
5. 


Answer: Option C Explanation: Let each edge be a metres. Then, I. a^{2} = 64 a = 8 m Volume = (8 x 8 x 8) m^{3} = 512 m^{3}. Thus, I alone gives the answer. II. a = 8 m Volume = (8 x 8 x 8) m^{3} = 512 m^{3}. Thus, II alone gives the answer. Correct answer is (C). 