find the volume of a sphere with surface area of 2916 pi

For a sphere the surface area is given by the following relation : S = 4*Pi*r^2

so r=sqrt(S/(4*Pi))=sqrt(2916*Pi/(4*Pi))=27

or v=4/3*Pi*r^3=4*Pi*r^2*(r/3)=S*r/3=2916*Pi*27/3=26244Pi

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