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Question

A copper sphere of diameter  18 cm is drawn  into a wire of diameter 4 mm . Find the length of the wire . .


Options:
A .  240 m
B .  243 m
C .  248 m
D .  253 m
Answer: Option B

Volume of sphere = `(4/3 pi xx 9 xx 9 xx 9) cm^3 = 972 pi cm^3`

volume of wire = `( pi xx 0.2 xx 0.2 xx h) cm^3`

`:.`      `  972 pi  =  pi xx 2/10 xx 2/10 xx h`

`rArr     h = (972 xx 5 xx 5) cm = ((972 xx 5 xx 5)/(100)) `m =  243 m



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