A solid sphere is melted and recast into 8 equal smaller spheres. What will be the radius of each smaller sphere?
Half of the radius of original sphere
Volume is conserved during melting and recasting.
(4/3)πR³ = 8 × (4/3)πr³
R³ = 8r³ ⇒ r³ = R³/8 ⇒ r = R/2.
So each smaller sphere has radius equal to half the radius of the original sphere. Answer: (A).
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