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# A frustum of a right circular cone is formed by cutting a small cone off of the top of a larger cone. If a particular frustum has a lower ba

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A frustum of a right circular cone is formed by cutting a small cone off of the top of a larger cone. If a particular frustum has a lower base radius of 6 inches, an upper base radius of 3 inches, and a height of 4 inches, what is its lateral surface area? (The lateral surface area of a cone or frustum is the curved surface excluding the base(s).)

michaelcai  Oct 24, 2017
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Lateral surface area  =

pi * ( sum of the radii) * sqrt [  difference of radii^2  + height^2 ]  =

pi *  ( 6 + 3) * sqrt [ ( 6 - 3)^2  + 4^2 ]  =

pi * ( 9 ) * sqrt [ 3^2 + 4^2 ]  =

pi * 9 * sqrt [ 25]  =

pi * 9 * 5  =

45pi   in^2

CPhill  Oct 24, 2017

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