What is the ratio of volume of cube to that of the sphere which will f

1.	What is the ratio of volume of cube to that of the sphere which will fit inside it
Answer» Let the radius of the sphere which fits exactly into a cube be r units. The length of each edge of cube = 2r unitsLet V1 and V 2 be the volumes of the cube and sphereThen V1 = (2r)3{tex}{V_2} = \\frac{4}{3}\\pi {r^3}{/tex}{tex}\\frac{{{V_1}}}{{{V_2}}} = \\frac{{8{r^3}}}{{\\frac{4}{3}\\pi {r^3}}} = \\frac{6}{\\pi }{/tex}V1:V2\xa0{tex} = 6:\\pi {/tex}

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