[tex]\begin{gathered} \text{The volume of the cylinder is,} \\ V=\pi r^2h \\ \text{Here,r}=4\text{ cm is the radius of the cylinder} \\ h=10\text{ cm is the height of the cylinder} \\ So,\text{ the volume is} \\ V=\pi\times4^2\times10 \\ V=3.14\times160 \\ V=502.4\operatorname{cm}^3 \\ \text{Thus, the answer is option (c).} \end{gathered}[/tex]