Given: If three metallic spheres of iron, steel, and aluminium of radii 6 cm, 8 cm, and 10 cm are melted to form a single sphere, find the diameter of the new sphere formed.
(A)
12.5 cm
(B)
18.7 cm
(C)
24 cm
(D)
30 cm
Answer: (C)
Explanation:
Total volume of the sphere = 4/3 * π * (a³ + b³ + c³) = 4/3 * π * (6³ + 8³ + 10³) = 4/3 * π * (1728) = 4/3 * π * 12³ Therefore, diameter of the new sphere = 24 cm.
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