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the diameter of a metallic solid sphere is 12 cm it is melted and drawn into a wire having diameter of cross section 0.2 cm find the length of the wire |
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Answer» Answer: We have Diameter of metallic sphere =6cm Radius of metallic sphere =3cm Also we have Diameter of cross-section of cylindrical wire=0.2cm ∴ Radius of cross-section FO cylindrical wire=0.1cm Let the LENGTH of the wire be h cm Since the metallic sphere is converted into a cylindrical shaped wire of length h cm Volume of the metal used in wire= Volume of the sphere ⇒π×r 2 ×h= 3 4
×π×r 3
⇒π×(0.1) 2 ×h= 3 4
×π×3 3
⇒π×( 10 1
) 2 ×h= 3 4
×π×27⇒π× 100 1
×h=36π ⇒h= π 36π×100
cm=3600cm=36metres ∴ Length of the wire=3600cm PLEASE MARK ME AS BRAINLIEST explanation- you just need to know to formula..then apply the values as all the values are already given in Question..calculate it and you will GET you answer |
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