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If three metallic spheres of radii 6 cm, 8 cm and 10 cm. are melted to form a single sphere, the diameter of the new sphere will be1). 24 cm2). 16 cm3). 36 cm4). 20 cm |
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Answer» ⇒ Volume of THREE spheres = {(4/3) π 63} + {(4/3) π 83} + {(4/3) π 103} = (4/3) π × (1728) ⇒ Volume of bigger sphere will be same to that of volume of three spheres ⇒ Volume of bigger sphere = (4/3) π × (1728) ⇒ (4/3) π R3 = (4/3) π × (1728) ⇒ R = 12 ∴ diameter = 2 × 12 = 24 cm |
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