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Question

The radius of a wire is decreased to one-third and its volume remains the same . The new length  is how many times the original length ?


Options:
A .  1 time
B .  3 times
C .  6 times
D .  9 times
Answer: Option D

Let original radius  = r and original length = h

New radius = `r/3` and let new length  = H

Then , `pi r^2 h = pi (r/3)^3 xx H`

or H = 9h.



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