Question

If the radius of a cylindrical wire is reduced to one third of itself and volume
remain same, then how much times the length of the wire become?
a) 3 12 times)
b) 6 a times)
c) 9 are times)
d) 27 (times)​

Answer 1

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If the radius of a cylindrical wire is reduced to one third of itself and volume

If the radius of a cylindrical wire is reduced to one third of itself and volumeremain same, then how much times the length of the wire become?

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option c

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radius of a cylindrical wire is reduced to one third of itself and volume

radius of a cylindrical wire is reduced to one third of itself and volumeremain same..

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●let initial radius be ' r '

new radius = r/3

☆ volume will remain the same

●let initial height be 'h1'

and new height be 'h2'

formula of volume is .....

πr²h

πr²h1 = πr²h2

( as volume is same)

=》r² × h1 = r²/9 × h2

=》h1/h2= 1/9

=》h2=9h1

lenght of the wire will become 9 times

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Cylinder is right circular cylinder

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Answer 2

Answer:

let initial radius be ' r '

new radius = r/3

☆ volume will remain the same

●let initial height be 'h1'

and new height be 'h2'

formula of volume is .....

πr²h

πr²h1 = πr²h2

( as volume is same)

=》r² × h1 = r²/9 × h2

=》h1/h2= 1/9

=》h2=9h1

lenght of the wire will become 9 times

Cylinder is right circular cylinder

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