Multiple choice

A solid sphere of radius 3 cm is melted and converted into a long wire of diameter 0.2 cm. Find the length of the wire.

  1. 38m

  2. 40m

  3. 36m

  4. 45m

  5. 42m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume of sphere = (4/3)πr³ = (4/3)π(3)³ = 36π cm³. Wire is a cylinder with diameter 0.2 cm, so radius = 0.1 cm. Volume of cylinder = πr²h = π(0.1)²h = 0.01πh. Equating: 36π = 0.01πh, so h = 3600 cm = 36 m. Option C is correct.

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