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Let $a_{r}, a_{\phi }$ and $a_{z}$ be unit vectors along, $r, \phi$ and $z$ directions, respectively in the cylindrical coordinate system. For the electric flux density given by $D= (a_{r}\: 15+a_{\phi }\:2r – a_{z}\:3rz)\: \text{Coulomb}/m^{2}$, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius $3\:m$ and height $5\:m$ along the  $z$-axis with its base at the origin is;

  1. $54\:\pi$
  2. $90\:\pi$
  3. $108\:\pi$
  4. $180\:\pi$
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