The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 2 mm. The length of the wire is:
A
12 m
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B
18 m
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C
36 m
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D
66 m
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Solution
The correct option is C 36 m 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 of cylinrical wire=0.1cm Let the length of the wire be hcm Since metallic sphere is converted into a cylinder shaped wire of length hcm ∴ Volume of the metal used in wire = Volume of the sphere