First, we need to find the surface area of the cylinder.
The formula for the surface area of a cylinder is:
Surface Area = 2πrh + 2πr^2
where r = radius and h = height
Given:
r = 10 ft
h = 8.5 ft
Plugging in the values:
Surface Area = 2*3.14*10*8.5 + 2*3.14*10^2
Surface Area = 2*3.14*85 + 2*3.14*100
Surface Area = 2*267.4 + 2*314
Surface Area = 534.8 + 628
Surface Area = 1162.8
Therefore, the exact surface area of the cylinder is 1162.8 square feet.
To get the approximate answer, we round to the nearest hundredth:
Approximate Surface Area ≈ 1162.8 square feet