Answer:
[tex]66\pi[/tex] ft²
Step-by-step explanation:
First find the area of the rectangle surrounding the cylinder.
Since the base diameter is 6 feet, the circumference [tex]=\pi d=6\pi[/tex].
Since the height is 8 feet, the area of the rectangle is [tex]6\pi\times8[/tex] or [tex]48\pi[/tex]
Now the area of the base circle [tex]=\pi r^2 = \pi\times\frac{1}{4}d^2=9\pi[/tex]
There are 2 base circles, so [tex]9\pi\times2=18\pi[/tex]
Surface area = [tex]18\pi+48\pi=66\pi[/tex] ft²
