Answer:
[tex]A = 301.59\ cm^2[/tex] or [tex]A=96\pi\ cm^2[/tex]
Step-by-step explanation:
The lateral area of a cylinder is calculated by the following formula
[tex]A = 2\pi r * h.[/tex]
Where r is the radius of the right cylinder and h is the height
In this case we know that the diameter d of the cylinder is
[tex]d=2r\\\\r=\frac{d}{2}\\\\r=\frac{12}{2}\\\\r=6\ cm[/tex]
[tex]h=8\ cm[/tex]
Therefore the lateral area is:
[tex]A = 2\pi*6 * 8.[/tex]
[tex]A = 96\pi[/tex]
[tex]A = 301.59\ cm^2[/tex]
