Question

the radius of a wire decreases to one third if the volume is same then find the length of the wire​

Answer 1

Wire is in the shape of a cylinder.  

Let the radius of the original cylinder =r cm and height =h cm

Original volume =πr  2  h

New Radius after decrease =  3 r

​Let the new height be H.

Given, πr  2  h=π(  3 r ​   )  2  H

H=9h

Hence, the height becomes 9 times

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