Question

19.
If the diameter of a sphere is equal to the side of a cube, find the ratio of
their volumes​

Answer 1

Let the Side of cube be 2x, then radius of sphere will be x.

Volume of Sphere $= \frac{4}{3}\pi x^{3}$

Volume of cube $= x^{3}$

Ratio $= \frac{4}{3}\pi x^{3} / (2x)^{3}$

        $= \frac{\pi }{6}$