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Three rectangles R(1) , R(2) and R(3) ...

Three rectangles `R_(1) , R_(2)` and `R_(3)` have the same area. Their lengths `x_(1),x_(2)` ahd `x_(3)` respectively are such that `x_(1)ltx_(2)ltx_(3)` If `v_(1),v_(2)` and `v_(3)` are the volumes of the cylinders formed from the rectangles `R_(1),R_(2)` and `R_(3)` respectively by joining the parallel sides along the breadth, then which one of the following is correct ?

A

`v_(3)ltv_(2)ltv_(1)`

B

`v_(1)ltv_(3)ltv_(2)`

C

`v_(1)ltv_(2)ltv_(3)`

D

`v_(3)ltv_(1)ltv_(2)`

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