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A metallic sphere of radius 3cm is melted and recast into some spherical balls of radius 0.6cm.The number of balls that can be made out of it is:

(A)90 (B)95

(C)100 (D)125

(E)None of these

Dear Student,

We have,radius of the bigger sphere, R = 3 cmNow, volume of sphere = 43πR3 = 43π33 = 36π cm3Let n ne the number of small spherical balls that are obtained from the bigger sphere.Now, radius of each spherical ball, r = 0.6 cmNow, volume of each spherical ball =43πr3  = 43π0.63 = 0.288π cm3Now, n = volume of spherevolume of each spherical ball = 36π0.288π = 125

Hence correct option is (D).



Regards 

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