Step 1: Write out the volume of a cylinder
[tex]\begin{gathered} \\ \text{Volume of a cylinder = }\Pi r^2h \end{gathered}[/tex]Step 2 : Compute the value given
[tex]\begin{gathered} \text{Volume of a cylinder = }\Pi r^2h \\ \text{radius = }\frac{diameter}{2} \\ \text{diameter = 18cm , height = 16cm} \\ \text{radius = }\frac{18\operatorname{cm}}{2}\text{ = 9cm} \\ \text{Volume = }\Pi\text{ }\times(9cm)^2\text{ }\times\text{ 16cm} \\ \text{Volume = }\Pi(81cm^2)\text{ }\times\text{ 16cm} \\ \text{Volume = 1296}\Pi cm^3 \end{gathered}[/tex]Hence the volume of the cylinder = 1296πcm³ Option D