A copper sphere of diameter 36 cm is drawn into a wire of

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A copper sphere of diameter 36 cm is drawn into a wire of diameter 4 mm. Find the length of the wire. ?

1. 2000 m
2. 15000 m
3. 1855 m
4. 1944 m

Correct Option: D

Let length of the wire be h According to the question,
Volume of sphere = Volume of wire
(4/3) x π x 18 x 18 x 18 = π x (2/10) x (2/10) x h
∴ h = (100 x 1944) cm
= (100 x 1944)/100 m = 1944 m [∵ 1 cm = 1/100 m]