find the surface area of a cylinder with a base radius length of 5 fr. and a height of 8 ft.

The formula for the surface area of a cylinder is SA = 2πr^2 + 2πrh, where r is the radius and h is the height of the cylinder.

Given:
r = 5 ft
h = 8 ft

Plug in the values:
SA = 2π(5)^2 + 2π(5)(8)
SA = 2π(25) + 2π(40)
SA = 50π + 80π
SA = 130π

Now, calculate the surface area:
SA ≈ 130π
SA ≈ 130(3.14)
SA ≈ 408.4 square feet

Therefore, the surface area of the cylinder is approximately 408.4 square feet.