Multiple choice

What is the capacity of the cylindrical tank? Statement I: The area of the base is 346.5 sq.m. Statement II: Ratio of the radius and height of the tank is 10:7. Statement III: The circumference of the base is 66 m.

  1. I and III

  2. II and III

  3. Any two

  4. None of these

  5. All three together are not sufficient
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I gives base area (pi*r² = 346.5) which alone cannot find volume without height. Statement II gives radius:height ratio (10:7) but no actual values. Statement III gives circumference (2*pi*r = 66), so r = 10.5 m. Combining II and III: from III, r = 10.5 m; from II, h = (7/10)*10.5 = 7.35 m. Volume = pi*r²*h = 346.5 * 7.35 = 2546.775 m³. Thus only II and III are sufficient.

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