Hi, 



A right circular cone has a radius 12 inches and a height of 25 inches

Note:  and 

 

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
 





The Lateral Surface Area of a right circular cone is given by:











Where  is the radius of the base and  is the slant height.





But you are given the height which is the measure of the distance from the center of the base to the apex of the cone.  You need the slant height which is the measure from a point on the circle that describes the base and the apex.  The radius and height form the legs of a right triangle and the slant height is the hypotenuse.  Calculate the slant height using Pythagoras.  Then plug in to the Lateral Area formula above.





John



My calculator said it, I believe it, that settles it



 

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