Answer:
[tex]\large\boxed{L.A.=168\pi\ in^2}\\\boxed{S.A.=232\pi\ in^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= 8in and l = 21in. Substitute:
[tex]L.A.=\pi(8)(21)=168\pi\ in^2[/tex]
[tex]S.A.=\pi(8^2)+168\pi=232\pi\ in^2[/tex]