Multiple choice

Directions: In this question, you have to decide which of the statements I, II and III is/are required for determining the answer to the given question. What is the capacity of the cylindrical tank? I. The base area is 87,400 sq.cm. II. The height of the tank is 4.5 times its radius. III. The base circumference is 960 cm.

  1. Only II and III

  2. Only II and either I or III

  3. Either I or III

  4. Only I and II

  5. All I, II and III
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Capacity of a cylinder = pi * r^2 * h. Statement I gives base area (pi * r^2). Statement II gives h = 4.5r. Statement III gives circumference (2 * pi * r). We need both r and h. I gives pi * r^2, so we can find r. Then II gives h. Alternatively, III gives r, then II gives h. Thus, II and either I or III is sufficient.

AI explanation

The capacity of the cylindrical tank is its volume, which is calculated as the base area multiplied by the height of the tank. Statement I directly provides the base area, while statement III provides the base circumference from which the base area can easily be derived using the formula pi times r squared. Statement II provides the necessary condition to find the height by relating it to the radius, so you need statement II and either statement I or statement III to find the complete volume.

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