Consider the volumes of the following objects and arrange them in decreasing order:
i. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm ii. A cube of each side 4 cm. iii. A cylinder of radius 3 cm and length 3 cm iv. A sphere of radius 3 cm
Explanation:
i. Volume of parallelepiped = 5 × 4 × 3 = 60 cm3
ii. Volume of cube = 4 × 4 × 4 = 64 cm3
iii. Volume of cylinder = πr2h = π × 3 × 3 × 3 > 81 cm3
iv. Volume of sphere = 4/3 × πr3 = 36π cm3 > 81 cm3
∴ Required order is iv, iii, ii, i.
Hence, option (a).
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