a sphere and a cube have equal surface areas show, Mathematics

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a sphere and a cube have equal surface areas show

A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π.

Ans: S.A. of sphere = S.A of cube

4π r² = 6a²

r = √6a²/4Π

∴ ratio of their volume v1/v 2 = 4/3πy³/a³

On simplifying & substituting, we get √6 : √π

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