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Aiden was given this problem:$\newline$The radius $r(t)$ of the base of a cylinder is increasing at a rate of $1$ meter per hour and the height $h(t)$ of the cylinder is decreasing at a rate of $4$ meters per hour. At a certain instant $t_{0}$, the base radius is $5$ meters and the height is $8$ meters. What is the rate of change of the volume $V(t)$ of the cylinder at that instant?$\newline$Which equation should Aiden use to solve the problem?$\newline$Choose $1$ answer:$\newline$(A) $V(t)=\pi[r(t)]^{2}+2 \pi \cdot r(t) \cdot h(t)$$\newline$(B) $V(t)=\pi[r(t)]^{2} \cdot h(t)$$\newline$(C) $V(t)=\pi[r(t)]^{2}+\pi \cdot r(t) \sqrt{[r(t)]^{2}+[h(t)]^{2}}$$\newline$(D) $V(t)=\frac{\pi[r(t)]^{2} \cdot h(t)}{3}$