Question

Find the lateral area of the cone .The lateral of the area cone is _cm2(Do not round until the final answer . Then round to the nearest whole number as needed .)

Answer 1

The formula to find the lateral area of a cone is

`LA=(1)/(2)rl`

Where r is the radius and l is the hypotenuse of the right triangle shown.

Let's find the hypotenuse l using the Pythagorean's Theorem

`\begin{gathered} l^2=8^2+40^2 \\ l=\sqrt[]{64+1600} \\ l=\sqrt[]{1664} \end{gathered}`

Now, we find the lateral area

Hence, the lateral surface area is 163 square centimeters.