alleryA solid metallic cylinder of radius 6 cm and height 30 cm is melted and made into solid cubes of side 6 cm. The number of cubes is
A15
B10
C5
D20
Answer & Solution
Correct answer: A. 15
1. Cylinder volume = pi × 36 × 30 = 1080 pi.
2. Each cube volume = 6 cubed = 216 cu cm. Cylinder volume in cu cm = 1080 × 22/7 ≈ 3394.29.
3. Cubes = 3394.29 / 216 ≈ 15.71 → 15 whole cubes.
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_
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