A right triangle $\mathrm{A}\mathrm{B}\mathrm{C}$ with sides $5 \mathrm{c}\mathrm{m},$ $12 \mathrm{c}\mathrm{m}$ and $13 \mathrm{c}\mathrm{m}$ is revolved about the side $12 \mathrm{c}\mathrm{m}.$ If the volume of the solid so obtained is $k\mathrm{\pi } {\mathrm{cm}}^3$, then find the value of $k$.

If the volume of a sphere whose radius is $7 \mathrm{c}\mathrm{m}$ is $k {\mathrm{cm}}^3$, then find the value of $k$ (correct to two decimal places). Assume $\mathrm{\pi }=\frac{22}{7}$.

If the volume of a sphere whose radius is $0.63 \mathrm{m}$ is $k {\mathrm{m}}^3$, then find the value of $k$. (Assume $\mathrm{\pi }=\frac{22}{7}$ and round off the answer to two decimal places)

If the amount of water displaced by a solid spherical ball of diameter $28 \mathrm{cm}$ is $\mathrm{V} {\mathrm{cm}}^3$, then find the value of $\mathrm{V}$ (correct to $2$ decimal places). Assume $\mathrm{\pi }=\frac{22}{7}$.

If the amount of water displaced by a solid spherical ball of diameter $0.21 \mathrm{m}$ is $\mathrm{V} {\mathrm{m}}^3$, then find the value of $\mathrm{V}$ (round off to $3$ decimal places). Assume $\mathrm{\pi }=\frac{22}{7}$.

The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon? (Assume $\mathrm{\pi }=\frac{22}{7}$)