When a solid metal cube is completely submerged in a cylinderical vessel containing milk, with diameter $30 cm$, the level of milk rises by $1\frac{41}{99} cm$ Find the length of edge of the metal cube.

The radius of the base of a cylinder is $14 \mathrm{cm}$ and its curved surface area is $880 {\mathrm{cm}}^2$. Its volume (in ${\mathrm{cm}}^3$) is______.

(Take $\pi =\frac{22}{7}$)

The lateral surface area of a cylinder is $352 {\mathrm{cm}}^2$. If its height is $7 \mathrm{cm}$, then its volume (in ${\mathrm{cm}}^3$) is:

(Take $\pi =\frac{22}{7}$)