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Find the volume of the cone.

 

 Jul 16, 2020
 #1
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the answer is c

 Jul 16, 2020
 #2
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Guest provided the correct answer but I expanded on it: 

The formula for a cone's  volume is  \(V=\frac{1}{3}hπr²\) where h is the height and r is the radius. So let's plug what we know into that equation. The slant height is 13 and the radius is 5. If we use the Pythagorean theorem (\(a^2+b^2=c^2\)- where a, b, and c are the sides of a triangle), you find out that the third side of the triangle (or the height) is 12. So the radius is 5 and the height is 12 \(\Rightarrow \frac {1}{3}\times12\times\pi\times25 \Rightarrow 100\pi\) which is \(100\pi \space or \space \boxed{c}\).

 Jul 16, 2020

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