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If the diameter of a metallic sphere is 6 cm, it is melted and a wire of diameter 0·2 cm is drawn, then the length of the wire made shall be
  • a)
    24 m
  • b)
    28 m
  • c)
    32 m
  • d)
    36 m
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the diameter of a metallic sphere is 6 cm, it is melted and a wire ...
We have
Diameter of metallic sphere =6cm
Radius of metallic sphere =3cm
Also we have
Diameter of cross-section of cylindrical wire=0.2cm
∴ Radius of cross-section fo cylindrical wire=0.1cm
Let the length of the wire be h cm
Since the metallic sphere is converted into a cylindrical shaped wire of length h cm
Volume of the metal used in wire= Volume of the sphere
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Most Upvoted Answer
If the diameter of a metallic sphere is 6 cm, it is melted and a wire ...
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Community Answer
If the diameter of a metallic sphere is 6 cm, it is melted and a wire ...
D of sphere =6cm ,r of sphere =3 cm, similarly r of wire =0.2/2=0.1cm
ATQ-
vol of sphere=vol of wire,
4/3pie r^3=pie r^2h
4/3×22/7×(3)^3= 22/7(0.1)^2h
h=3600cm =36m
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