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

**Ans. **Let’s draw the diagram for the given question:

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} = X^{3}

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 R^{3}

Now

=

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

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