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QA – Placement Quizzes | Mensuration 3D | Question 13

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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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Last Updated : 28 Jun, 2021
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