Answer:
[tex]87.125\pi in^{2} or 87\frac{1}{8}\pi in^{2}[/tex]
Step-by-step explanation:
Given Surface Area of Cylinder = [tex]2\pi rh+2\pi r^{2}[/tex],
and also given r = 4.25 inches and h = 6 inches.
Let's Substitute r and h into the formula to find the total surface area.
Surface Area of Cylinder = [tex]2\pi (4.25)(6)+2\pi (4.25)^{2} \\=51\pi +36.125\pi \\=87.125\pi in^{2} or 87\frac{1}{8} \pi in^{2}[/tex]