The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 72 m
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Understanding |
Application |
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The radius of a sphere is 6 cm. We know: Volume of sphere = 4/3 × πr3 |
So, Volume of the sphere = 4/3 × π × 6 × 6 × 6 |
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The sphere is melted and drawn into a wire of radius 0.2 cm. The wire will be in cylindrical shape. We know: Volume of cylinder = πr2h |
So, 4/3 × π × 6 × 6 × 6 = π × (0.2)2 × h ⇒ h = 288/0.04 ⇒ h = 7200 cm or 72 m Hence, Length of the wire = 72 m |