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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

$D=\left ( a_{r}15+a_{\phi } 2r - a_{z} 3rz \right )\:Coulomb/m^{2}$, the total electric flux, in Coulomb,

emanating from the volume enclosed by a solid cylinder of radius $3\:m$ and height

$5\:m$ oriented along the $\text{z}$-axis with its base at the origin is:

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