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For a cone, if the radius was quadrupled and the slant height was reduced to one sixth of its original size, what would be the formula to find the modified surface area?

 May 13, 2014

Best Answer 

 #2
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$$Area=\pi rl+\pi r^2$$

 

$$\\
\frac{Area2}{Area1}=\frac{4r\frac{l}{6}+16r^2}{rl+r^2}\\\\
Area2 = Area1*\frac{2(l+24r)}{3(l+r)}$$

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 May 13, 2014
 #1
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the surface area would be pie times ratio times the original slant height plus pie times ratio squared 2 if you do that you should find the answer hope this helped

 May 13, 2014
 #2
avatar
+5
Best Answer

$$Area=\pi rl+\pi r^2$$

 

$$\\
\frac{Area2}{Area1}=\frac{4r\frac{l}{6}+16r^2}{rl+r^2}\\\\
Area2 = Area1*\frac{2(l+24r)}{3(l+r)}$$

Guest May 13, 2014

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