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SSC MTS 2023 · PYQ · Mensuration · medium

The diameter of a metallic sphere is 6 cm. It is melted and drawn into a wire having a diameter of the cross section as 0.4 cm. Find the length of the wire (in metres).

  1. A.12
  2. B.18
  3. C.10
  4. D.9✓ Correct

Explanation

Volume of sphere = 4/3×π×3³. Volume of wire = π×0.2²×h. Setting equal: h = (4/3×27)/0.04 = 900 cm = 9 metres.
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