8.What is the lateral area and the surface area of the cone shown below? Round the answers to the nearest tenth.the figure is not drawn to scale.

if you have the answers for the whole test I'll take them too please

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calculista calculista · Answer 1 · 2019-05-13T03:59:39+02:00

Answer:

Part 1) The lateral area is [tex]LA=791.7\ ft^{2}[/tex]

Part 2) The surface area is [tex]SA=1,244.1\ ft^{2}[/tex]

[tex]LA=791.7\ ft^{2}[/tex], [tex]SA=1,244.1\ ft^{2}[/tex]

Step-by-step explanation:

step 1

Find the lateral area of the cone

we know that

The lateral area of the cone is equal to

[tex]LA=\pi rl[/tex]

we have

[tex]r=12\ ft[/tex]

[tex]l=21\ ft[/tex]

substitute

[tex]LA=(3.1416)(12)(21)=791.7\ ft^{2}[/tex]

step 2

Find the surface area of the cone

we know that

The surface area of the cone is equal to

[tex]SA=\pi r^{2}+LA[/tex]

we have

[tex]r=12\ ft[/tex]

[tex]LA=791.7\ ft^{2}[/tex]

substitute

[tex]SA=(3.1416)(12)^{2}+791.7=1,244.1\ ft^{2}[/tex]