Three thin rods each of length $L$ and mass $M$ are placed along $x, y$ and $z-$ axes is such a way that one end of each of the rods is at the origin. The moment of inertia of this system about $z-$ axis is
Three thin rods each of length $L$ and mass $M$ are placed along $x, y$ and $z-$ axes is such a way that one end of each of the rods is at the origin. The moment of inertia of this system about $z-$ axis is
- A
$\frac{{2M{L^2}}}{3}$
- B
$\frac{{4M{L^2}}}{3}$
- C
$\frac{{5M{L^2}}}{3}$
- D
$\frac{{M{L^2}}}{3}$
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