Problem
What is the surface area of the cylinder with height 8 mi and radius 4 mi? Round your answer to the nearest thousandth.
Solution
Step 1 ：\(A_{base} = \pi r^2 = \pi(4)^2 = 16\pi\)
Step 2 ：\(A_{lateral} = 2\pi rh = 2 \pi(4)(8) = 64\pi\)
Step 3 ：\(A_{total} = 2A_{base} + A_{lateral} = 2(16\pi) + 64\pi = 96\pi \approx 201.061\)
