What is the moment of inertia of a cylinder of diameter $D$ and length $L$ about an axis passing through its center of gravity and perpendicular to its length?

• A
  $M \left[ \frac{D^2}{4} + \frac{L^2}{12} \right]$
• B
  $M \left[ \frac{D^2}{16} + \frac{L^2}{12} \right]$
• C
  $M \left[ \frac{D^2}{8} + \frac{L^2}{16} \right]$
• D
  $M \left[ \frac{D^2}{4} + \frac{L^2}{6} \right]$