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Kaylis [27]
3 years ago
8

Find the later area of the figure

Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

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

Step-by-step 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=\sqrt{100}\\\\l=10\ in

Substitute:

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

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