Multiple choice

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. (Only quantity is to be considered) Sum of height and diameter of the cylinder is 22 meter. Quantity I :- Volume of the cylinder whose respective ratio of height to radius is 30 : 7 . Quantity II :- Volume of the cylinder if height of cylinder is 14 m .

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or relation can't be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given h + d = 22m, and d = 2r, so h + 2r = 22. Quantity I: h/r = 30/7, so h = 30r/7. Substituting: 30r/7 + 2r = 22 gives 44r/7 = 22, so r = 3.5m and h = 15m. Volume I = π * 3.5² * 15 = 183.75π ≈ 577.3 m³. Quantity II: h = 14m, so d = 22 - 14 = 8m, r = 4m. Volume II = π * 4² * 14 = 224π ≈ 703.7 m³. Since 703.7 > 577.3, Quantity II > Quantity I.

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