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Question

The radius of a sphere is 9 cm It is melted and drawn into a wire of diameter 2 mm Find the lenght of the wire in meters

A
972
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B
792
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C
292
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D
97.2
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Solution

The correct option is C 972
The wire is cylindrical in shape So its volume will be =πr2h where h is the length of the wire here
Volume of the sphere = Volume of the wire
i.e. =π(0.1)2h=43π(9)3 (Since 1 mm = 0.1 cm)
or h=97200 cm = 972 m

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