A balloon, which always remains spherical, has a variable diameter $\large\frac{3}{2}$$(2x+1)$. Find the rate of change of its volume with respect to $x.$

Question

$\begin{array}{1 1} (A)\;\frac{27}{8}\pi(2x+1)^2 \\ (B)\;\frac{-27}{8}\pi(2x+1)^2 \\ (C)\;\frac{-27}{4}\pi(2x+1)^2 \\ (D)\;\frac{27}{4}\pi(2x+1)^2 \end{array} $