Consider the volumes of the following (1) A parallelopiped of length 5cm, breath 3cm and height 4cm (2) A cube of each side 4cm (3) A cylinder of radius 3cm and length 3cm (4) A sphere of radius 3 cm The volume of these in the decreasing order is
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1,2,3,4
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1,3,2,4
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4,2,3,1
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4,3,2,1
D
Correct answer
Explanation
Calculate each volume: (1) Parallelepiped = 5×3×4 = 60 cm³; (2) Cube = 4³ = 64 cm³; (3) Cylinder = π×3²×3 = 27π ≈ 84.82 cm³; (4) Sphere = (4/3)π×3³ = 36π ≈ 113.10 cm³. In decreasing order: 113.10 > 84.82 > 64 > 60, which corresponds to sphere (4) > cylinder (3) > cube (2) > parallelepiped (1). This matches option D.