Show that the ratio of the volume of the sphere, Mathematics

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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/

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

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

 

 


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