Final Answer:
The surface area of the cylinder is 254.5 square units.
Step-by-step explanation:
Identify the relevant formulas:
Area of the base: A_b = π * r^2
Area of the lateral surface: A_l = 2 * π * r * h
Total surface area: A_t = A_b + A_l
Substitute the given values:
r = 3
h = 12
Calculate the base area:
A_b = π * 3^2
A_b ≈ 28.27 square units
Calculate the lateral surface area:
A_l = 2 * π * 3 * 12
A_l ≈ 226.20 square units
Calculate the total surface area:
A_t = A_b + A_l
A_t ≈ 28.27 + 226.20
A_t ≈ 254.47 square units (round to 1 decimal place)
Therefore, the surface area of the cylinder is approximately 254.5 square units.