Write True or False and justify your answer in each of the following: If a sphere is inscribed in a cube,then the ratio of the volume of the cube to the volume of the sphere will be $6: \pi$.

(A) Let $a$ be the edge length of the cube.
Since the sphere is inscribed in the cube,the diameter of the sphere is equal to the edge length of the cube,$a$. Therefore,the radius of the sphere is $r = \frac{a}{2}$.
Volume of the cube $(V_1)$ = $(\text{edge})^3 = a^3$.
Volume of the sphere $(V_2)$ = $\frac{4}{3} \pi r^3 = \frac{4}{3} \pi (\frac{a}{2})^3 = \frac{4}{3} \pi (\frac{a^3}{8}) = \frac{\pi a^3}{6}$.
Ratio of the volume of the cube to the volume of the sphere = $\frac{V_1}{V_2} = \frac{a^3}{\frac{\pi a^3}{6}} = \frac{6}{\pi}$.
Thus,the ratio is $6: \pi$.
Hence,the given statement is true.