The Greek mathematician Archimedes found that the surface area of a round is the exact same as the lateral surface ar area that a cylinder having the same radius together the sphere and also a elevation the length of the diameter of the sphere.

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The lateral surface ar area that the cylinder is 2 π r h whereby h = 2 r . Lateral surface ar Area that the Cylinder = 2 π r ( 2 r ) = 4 π r 2 . Therefore, the surface ar Area of a round with radius r equals 4 π r 2 .
instance :

uncover the surface ar area that a round with radius 5 inches.

S . A . = 4 π ( 5 ) 2 = 100 π   customs 2 ≈ 314.16   inch 2


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