# 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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