The radius of a cylinder is increasing at the rate of $2$ cm/sec and its altitude is decreasing at the rate of $3$cm/sec . The rate of change of volume when the radius is $3$cm and the altitude is $5$cm is

Question

\[\begin{array}{1 1}(1)23\pi&(2)33\pi\\(3)43\pi&(4)53\pi\end{array}\]