Question
Download Solution PDFA copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm.
Concept used:
Volume of sphere = 4/3πr3
Volume of cylinder = πr2h
Calculation:
Radius of sphere = 9 cm
Radius of wire = 0.3 cm [As 1 cm = 10 mm]
According to the question,
Volume of sphere = Volume of cylinder
⇒ 4/3π93 = π0.32x
⇒ 4/3 × 729 = 0.32x
⇒ 4 × 243 = 0.09x
⇒ x = 10800 cm = 108 m
∴ The length of the wire is 108 m.
Last updated on Jul 17, 2025
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