Answer:
[tex]\large\boxed{L.A.=153\pi\ mm^2}\\\boxed{S.A.234\pi\ mm^2}[/tex]
Step-by-step explanation:
The formula of a lateral area of a cone:
[tex]L.A.=\pi rl[/tex]
r - radius
l - slant height
The formula of a surface area of a cone:
[tex]S.A.=\pi r^2+\pi rl[/tex]
We have r= 9mm and l = 17mm. Substitute:
[tex]L.A.=\pi(9)(17)=153\pi\ mm^2[/tex]
[tex]S.A.=\pi(9^2)+153\pi=81\pi+153\pi=234\pi\ mm^2[/tex]
