The Greek mathematician Archimedes uncovered that the surface ar area that a round is the very same as the lateral surface area that a cylinder having actually the same radius together the sphere and a height the size of the diameter of the sphere.

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

find the surface ar area the a ball with radius 5 inches.

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


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