Answer :
Answer: The correct option is (A) [tex]405\pi~\textup{cu. units}.[/tex]
Step-by-step explanation: We are given to find the volume of the cylinder shown in the figure.
We know that
the VOLUME of a cylinder with radius r units and height h units is given by
[tex]V=\pi r^2h.[/tex]
In the given cylinder, we have
radius, r = 9 units and height, h = 5 units.
Therefore, the VOLUME of the cylinder will be
[tex]V=\pi r^2h=\pi\times 9^2\times5=405\pi~\textup{cu. units}.[/tex]
Thus, the required volume of the cylinder is [tex]405\pi~\textup{cu. units}.[/tex]
Option (A) is CORRECT.