Multiple choice

What is the length of the uniform wire of diameter 0.2 cm that can be drawn from a solid sphere of radius 3 cm.?

  1. 72 m.

  2. 343 m.

  3. 36 m.

  4. 18 m.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume of sphere = (4/3)π(3)³ = 36π cm³. Volume of wire = πr²h = π(0.1)²h. Equating volumes: π(0.01)h = 36π, so h = 3600 cm = 36 m. The key is volume conservation during the drawing process.

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