alleryThree solid metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere. The radius of the new sphere is
A10 cm
B9 cm
C14 cm
D12 cm
Answer & Solution
Correct answer: D. 12 cm
1. Sum of volumes: (4/3) pi (216 + 512 + 1000) = (4/3) pi × 1728.
2. New sphere radius cubed = 1728, so radius = 12 cm.
3. Hence 12 cm.
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_
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