Answer:
150.83 (cm²).
Explanation:
1) the area of the bottom and top is: A₁=π*r²*2=2*3.1415*4≈25.13 (cm²);
2) the length of the circle in the bottom/top side is: l=2*π*r=2*3.1415*8≈12.57 (cm);
3) the area of the side surface of the cylinder is: A₂=l*h=12.57*10=125.7 (cm²);
4) the required area of the cylinder is:
A=A₁+A₂=25.13+125.7=150.83 (cm²).