Answer:
[tex]A=301.593\ cm^3[/tex]
Step-by-step explanation:
The Surface Area of a Cylinder
Given a cylinder of base radius r and height h, the surface area is calculated (including the top and bottom areas):
[tex]A = 2\pi r^2+2\pi r h[/tex]
The cylinder has a height of h=8 cm and a radius of r=4 cm. Substituting:
[tex]A = 2\pi 4^2+2\pi *4*8[/tex]
[tex]A = 32\pi +64\pi[/tex]
[tex]A=96\pi[/tex]
Calculating
[tex]\boxed{A=301.593\ cm^3}[/tex]
