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What is the surface area of a cone with a 6 in. diameter and a length (slant height) of 8 in.?

User Pieter B
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1 Answer

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The formula of a surface area of a cone:


SA=pi rl+\pi r^2

r - radius

l - slant height

We have the diameter d = 6 in and a slant height l = 8 in.


d=2r\to r=6in:2=3in

Substitute:


SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}

User Nafees Khabir
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