The surface area of a cylinder is given as
[tex]A = 2 \pi rh + 2 \pi r^2[/tex]
r (radius)= 0.75 since radius is half of the diameter
h (height) = 10
So:
[tex]A = 2 \pi rh + 2 \pi r^2
A = 2 (3.14)(0.75)(10) + 2 (3.14)(0.75)^2
A = 47.1 + 3.5325
A = 50.6325 = 50.63in^2
[/tex]