Question

Find the later area of the figure

Answer 1

`\large\boxed{60\pi\ sq.in.}`

Explanation:

The formula of a lateral area of a cone:

`L.A.=\pi rl`

r - radius

l - lateral height

We have the radius r = 6in and the height H = 8in.

Use the Pythagorean theorem to calculate the lateral height:

`l^2=6^2+8^2\\\\l^2=36+64\\\\l^2=100\to l=√(100)\\\\l=10\ in`

Substitute:

`L.A.=\pi(6)(10)=80\pi\ in^2`