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  • 02-05-2019
  • Mathematics
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Find the lateral area and surface area of cone

Find the lateral area and surface area of cone class=

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gmany gmany
  • 02-05-2019

Answer:

[tex]\large\boxed{L.A.=168\pi\ in^2}\\\boxed{S.A.=232\pi\ in^2}[/tex]

Step-by-step explanation:

The formula of a lateral area of a cone:

[tex]L.A.=\pi rl[/tex]

r - radius

l - slant height

The formula of a surface area of a cone:

[tex]S.A.=\pi r^2+\pi rl[/tex]

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

[tex]L.A.=\pi(8)(21)=168\pi\ in^2[/tex]

[tex]S.A.=\pi(8^2)+168\pi=232\pi\ in^2[/tex]

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