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Q20 (IAS/2002) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

Consider the volumes of the following: 1. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm 2. A cube of each side 4 cm 3. A cylinder of radius 3 cm and length 3 cm 4. A sphere of radius 3 cm The volumes of these in the decreasing order is

Result
Your answer: —  Â·  Correct: D
Explanation

Use standard volume formulas: rectangular parallelepiped V = l×b×h, cube V = a^3, cylinder V = πr^2h, sphere V = (4/3)πr^3. Compute each: parallelepiped = 5×3×4 = 60 cm^3; cube = 4^3 = 64 cm^3; cylinder = π×3^2×3 = 27π ≈ 84.82 cm^3; sphere = (4/3)π×3^3 = 36π ≈ 113.10 cm^3. Ranking these volumes in decreasing order gives sphere (IV) ≈113.10 > cylinder (III) ≈84.82 > cube (II) =64 > parallelepiped (I) =60. Therefore the correct order is IV, III, II, I, which corresponds to option 4.

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