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A solid copper sphere of radius 9 cm. is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (left( ight. Take π=227)left.pi=frac{22}{7} ight)

a

777.6 metre

b

972 metre

c

1458 metre

d

1166.4 metre

Answer : Option B
Explanation :

Volume of solid sphere

=43πr3=43π×9×9×9=frac{4}{3} pi r^{3}=frac{4}{3} pi imes 9 imes 9 imes 9

= 972 Scubic cm.

If the length of wire be h cm. then

Volume of wire = 972S

π(110)2h=972πRightarrow pileft(frac{1}{10} ight)^{2} h=972 pi

⇒ h = 97200 cm.= 972 metre

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