Answer:
[tex]V = 256\pi \, u^{3}[/tex]
Step-by-step explanation:
The volume of the cylinder is determined by the following formula:
[tex]V = \pi\cdot r^{2}\cdot h[/tex]
Where:
[tex]r[/tex] - Radius of the cylinder's base.
[tex]h[/tex] - Height of the cylinder.
The volume of the cylinder is:
[tex]V = \pi \cdot (8\,u)^{2}\cdot (4\,u)[/tex]
[tex]V = 256\pi \, u^{3}[/tex]
