dadwassim522 dadwassim522
  • 01-10-2020
  • Mathematics
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A solid metallic sphere of radius 3 cm is melted and drawn into a cylindrical wire of radius 5 mm. Find the length of the wire.

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mhanifa
mhanifa mhanifa
  • 01-10-2020

Answer:

  • 144 cm

Step-by-step explanation:

Given

  • Radius of a sphere = 3 cm
  • Radius of a cylinder = 5 mm = 0.5 cm

Volume of a sphere

  • V = 4/3πr³= 4/3*3³π = 36π cm³

Volume of a cylinder

  • V = πr²h = π*0.5²h = 0.25πh cm³

Comparing volumes to get the length of the wire

  • 36π = 0.25πh
  • h = 36π/0.25π = 144 cm
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