Question

Find the lateral area and surface area of cone

Answer 1

`\large\boxed{L.A.=168\pi\ in^2}\\\boxed{S.A.=232\pi\ in^2}`

Explanation:

The formula of a lateral area of a cone:

`L.A.=\pi rl`

r - radius

l - slant height

The formula of a surface area of a cone:

`S.A.=\pi r^2+\pi rl`

We have r= 8in and l = 21in. Substitute:

`L.A.=\pi(8)(21)=168\pi\ in^2`

`S.A.=\pi(8^2)+168\pi=232\pi\ in^2`