Directions: Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is the capacity of the cylindrical tank? I. Radius of the base is half of its height. II. Area of the base is 616 square metres. III. Height of the cylinder is 28 metres.

### Concept & Logic The capacity (volume) of a cylinder requires the radius ($r$) and height ($h$). The formula is: $$ \text{Volume} = \pi r^2 h $$ ### Step-by-Step Solution - **Statement I:** Gives the relationship $r = h/2$. (Insufficient alone) - **Statement II:** Gives the area of the base ($\pi r^2 = 616$), which allows us to find $r$. (Insufficient alone) - **Statement III:** Gives the height ($h = 28$). (Insufficient alone) - **Combining Statements:** - **I and II:** Statement II gives $r$. Statement I allows us to find $h$ from $r$. (Sufficient) - **II and III:** Statement II gives $r$. Statement III gives $h$. Both variables are known. (Sufficient) - **I and III:** Statement III gives $h$. Statement I allows us to find $r$ from $h$. (Sufficient) - Any two of the three statements are sufficient to find both $r$ and $h$, and therefore the volume. ### Exam Strategy & Shortcut We have three unique pieces of information: a mathematical relationship between variables (I), the value of one variable (II), and the value of the other variable (III). Any two of these will provide the complete set of parameters needed for the volume formula. ### Common Pitfall Calculating the actual numerical values wastes time. In Data Sufficiency, simply recognize that having two distinct independent constraints for two variables is enough to solve. ### Final Answer Therefore, the correct answer is **Any two of the three**.