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Question
A solid sphere of diameter 6 cm is melted and drawn into a wire of radius 4 mm. The length of wire is ______.
Options
90° cm
90 cm
900 m
225 cm
MCQ
Fill in the Blanks
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Solution
A solid sphere of diameter 6 cm is melted and drawn into a wire of radius 4 mm. The length of wire is 225 cm.
Explanation:
Volume of sphere = `(4/3)π(3 cm)^3`
= 36 πcm3
Wire cross-sectional area = π(0.4 cm)2
= 0.16 πcm2
Equating volumes: 0.16π × L = 36π
⇒ `L = 36/0.16`
= 225 cm
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