QA – Placement Quizzes | Mensuration 3D | Question 12

Given: A welder has a solid piece of iron of dimensions 49 * 33 * 24 cm³ which he will be molding into a sphere. What will be the radius of the sphere?

(A)

17/4 cm

(B)

20 cm

(C)

21 cm

(D)

None of these

Answer: (C)

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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