Answer: [tex]160.28\ cm^2[/tex]
Step-by-step explanation:
Given
diameter of cone [tex]d=12\ cm[/tex]
radius is [tex]r=\frac{d}{2}=6\ cm[/tex]
The slant height of the cone [tex]l=85\ mm\approx 8.5\ cm[/tex]
The surface area of a cone is
[tex]\Rightarrow A=\pi rl[/tex]
Substitute the value
[tex]\Rightarrow A=\frac{22}{7}\times 6\times 8.5=160.28\ cm^2[/tex]