QA – Placement Quizzes | Mensuration 3D | Question 12

A solid piece of iron of dimensions 49 * 33 * 24 cm³ is molded into a sphere. The radius of the sphere is:
(A) 21 cm
(B) 28 cm
(C) 35 cm
(D) None of these


Answer: (A)

Explanation: Volume of a Sphere = 4/3 * π * r³ = 49 * 33 * 24
r³ = 49 * 33 * 24 * 7/22 * 3/4 = 7³ * 11 * 3 * 2³ * 3 * 1/22 * 3/4 = 7³ * 3³ = 21³ cm³
Therefore, r = 21 cm.


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