The radius of a wire is decreased to one-third. If volume remains the same, length will increase by:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 9 times
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Understanding |
Application |
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The wire is always in the cylindrical shape. We know: Volume of cylinder = πr2h |
The radius of a wire is decreased to one-third and volume remains same. So, πr2h1 = π(r/3)2h2 h1 = h2/9 Or h2 = 9h1 Hence, the length of the wire will increase by 9 times. |