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Initial radius is R
length is L
volume of wire = π R²L
now new radius is R - R/4 = 3R/4
new length be L'
new volume = initial volume
⇒π (3R/4)²× L' = π R²L
 ⇒ (9/16 ) L' =  L
⇒L' = 16/9 L
new length is 16/9 times the original length