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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