Q) Determine the ratio of the volume of a cube to that of the sphere which will exactly fit inside the cube.

If the radius of the sphere is R, then volume of the sphere, V_S =

If the side of the cube is X, then volume of the Cube V_C = X³

For a sphere to be exactly fit into a cube, its Diameter has to be equal to the side of the cube

∴ X = 2R

∴ V_C = (2R)³ = 8 R³

Now

=

Therefore, the ratio of Cube’s volume to Sphere’s volume will be

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