The radius of a wire is decreased to one- third. If volume remains the same, the length will become * 1 point (a) 3 times (b) 6 times (c) 9 times (d) 27 times
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Step-by-step explanation:
Wire is in the shape of a cylinder.
Let the radius of the original cylinder =r cm and height =h cm
Original volume =πr²h
New Radius after decrease = r/3
Let the new height be H.
Given, πr² h=π( r/3) ²H
H=9h
Hence, the height becomes 9 times.
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