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A cone is generated by rotating right triangle \(ABC\) around side \(\overline{AB}\) (Length of \(\overline{AB}\) is 3). The right triangle's side lengths are 3, 4, and 5. What is the cone's total surface area? 

 

I know the height is 3 and the radius of the base is 4, but I don't know how to find the surface area.

 Mar 14, 2024

Best Answer 

 #3
avatar+128794 
+1

Surface area    =   pi *  [ r^2  + r L]    where r  = 4  and L =  the slant height =   5

 

So

 

pi [ 4^2  + 4 * 5  ] = 

 

pi  [ 16 + 20  ] = 

 

36 pi  ≈   113.1

 

 

cool cool cool

 Mar 14, 2024
 #3
avatar+128794 
+1
Best Answer

Surface area    =   pi *  [ r^2  + r L]    where r  = 4  and L =  the slant height =   5

 

So

 

pi [ 4^2  + 4 * 5  ] = 

 

pi  [ 16 + 20  ] = 

 

36 pi  ≈   113.1

 

 

cool cool cool

CPhill Mar 14, 2024

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