1.

, Aof the two of the balls are 15 cm and 2 cm respectively. Deternthird ball.sphericalball of fadius 3 cm is melted and recast into theemine the diaical ballsthe diameter of thevely. De

Answer»

Radius of ball which is melted = 3cm

Radius of first formed ball = 1.5 cmRadius of second formed ball = 2 cmLet Radius of third formed ball = r cm

Volume of large ball = sum of volume of 3 formed balls⇒4π/3 × 3³ = 4π/3(1.5³ + 2³ + r³)⇒ 3³ =1.5³ + 2³ + r³⇒ 27 = 3.375 + 8 + r³⇒ r³ = 27 - 8 - 3.375 = 15.625⇒ r = ∛15.625⇒ r = 2.5cm

∴Radius of third ball is 2.5cm



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