QA – Placement Quizzes | Mensuration 3D | Question 13

If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, the diameter of the new sphere will be:
(A) 12 cm
(B) 24 cm
(C) 30 cm
(D) 36 cm


Answer: (B)

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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