Multiple choice

What is the length of the uniform wire of diameter 0.4 cm that can be drawn from a solid sphere of radius 9 cm?

  1. 243 m

  2. 240 m

  3. 60.75 m

  4. 60 m
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A Correct answer
Explanation

Volume of the sphere = (4/3)πr³ = (4/3)π(9)³ = 972π cm³. The wire is a cylinder with radius 0.2 cm (half of diameter 0.4 cm). Volume of wire = πr²h = π(0.2)²h. Setting equal: 972π = 0.04πh, giving h = 24300 cm = 243 m.

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