alleryA sphere of radius 6 cm is melted and recast into a cone of radius 6 cm. The height of the cone is
A18 cm
B12 cm
C6 cm
D24 cm
Answer & Solution
Correct answer: D. 24 cm
1. Volume of sphere = (4/3) × pi × 216 = 288 pi.
2. Volume of cone = (1/3) × pi × 36 × h = 12 pi h. Equate: 12 pi h = 288 pi.
3. h = 24 cm.
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_
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