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Four holes of radius R are cut from a th...

Four holes of radius `R` are cut from a thin square plate of side `4 R` and mass `M`. The moment of inertia of the remaining portion about z-axis is :
.

A

`(pi)/(12)MR^(2)`

B

`((4)/(3)-(pi)/(4))MR^(2)`

C

`((4)/(3)-(pi)/(6))MR^(2)`

D

`((8)/(3)-(10pi)/(16))MR^(2)`

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The correct Answer is:
D
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