A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.
Answer & explanation
Correct answer: option 2
Volume of sphere = \(\frac{4}{3}\)πr3
Volume of cylinder = πr2h
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
⇒ \(\frac{4}{3}\)π93 = π0.32x
⇒ \(\frac{4}{3}\) × 729 = 0.32x
⇒ 4 × 243 = 0.09x
⇒ x = 10800 cm = 108 m