Directions : 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 both the 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. What is the volume of 32 metre high cylindrical tank? I. The area of its base is 154 $m^2$. II. The diameter of the base is 14 m.

### Concept & Formula The volume of a cylinder is found by multiplying the area of its circular base by its height. $$Volume = \pi r^2 h = (Area\ of\ Base) \times h$$ ### Step-by-Step Solution Given: The question stem already provides the height of the cylindrical tank ($h = 32\text{ m}$). 1. Evaluate Statement I alone: The area of the base is given directly as $154\text{ m}^2$. Multiplying this by the given height ($32\text{ m}$) yields the volume. Statement I is sufficient. 2. Evaluate Statement II alone: The diameter is given as $14\text{ m}$, which means the radius $r = 7\text{ m}$. Using the radius, we can calculate the area of the base ($\pi r^2$) and then multiply by the height to find the volume. Statement II is also sufficient. ### Exam Strategy & Shortcut Recognize that base area, base radius, base diameter, and base circumference are all mathematically interdependent for a circle. Giving any one of them is equivalent to giving the base area needed for the cylinder volume formula. ### Common Pitfall Forgetting that the question stem itself contains crucial data (the height). Always integrate stem data before evaluating the individual statements. ### Final Answer Therefore, the correct answer is **if the data either in Statement I or in Statement II alone are sufficient to answer the question**.