Question

The radius of a wire is decreased to one-third. If volume remains the same, the length will become
A. 3 times
B. 6 times
C. 9 times
D. 27 times

Answer 1

I tried alot then i got the perfect answer is in attachment

Answer 2

Given : Radius of a wire is decreased to one-third.

Original volume ,V1 = πr1²h1

New radius, r2 = ⅓ r1

New volume , V2 = πr2²h2

V1 = V2

[ Given : volume remains the same]

πr1²h1 = πr2²h2

r1²h1 = r2²h2

r1²h1 = r2²h2

r1²h1 = (⅓r1)²h2

r1²h1 = 1/9r1²h2

h1 = 1/9h2

h2 = 9h1

Hence, the length will become 9 times.

Option (C) 9 times is the correct option.

HOPE THIS ANSWER WILL HELP YOU…..

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