To answer this question, we need to know the formula to find the surface area of a cylinder:
[tex]SA=2\pi rh+2\pi r^2[/tex]The first part of the formula corresponds to the lateral part of the cylinder. The other part represents the area of the two circles in the cylinder.
Then, we have:
r = D/2 ---> D = 2ft ---> r = 2ft /2 ---> r = 1ft.
h = 2ft
Now, we can apply the above formula:
[tex]SA_{\text{cyl}}=2\cdot\pi\cdot1\cdot2+2\cdot\pi\cdot(1)^2=4\pi ft^2+2\pi ft^2=6\pi ft^2=18.8495559215ft^2[/tex]If we round this area to the nearest tenth, we have that the area is equal to 18.8 sq. feet.
