A rectangle of length $14\text{ cm}$ and breadth $7\text{ cm}$ is rotated about its shorter side to form a cylinder. What is the volume (in ${\text{cm}}^3$) of the cylinder so generated? (Take $\pi =\frac{22}{7}$)

Given a rectangle with:Length ($l$) = $14\text{ cm}$ Breadth ($b$) = $7\text{ cm}$ When the rectangle is rotated about its shorter side (breadth = $7\text{ cm}$):The shorter side becomes the height of the cylinder: $h=7\text{ cm}$ The longer side becomes the radius of the base of the cylinder: $r=14\text{ cm}$ The formula for the volume ($V$) of a cylinder is:
$$V=\pi r^{2}h$$
Substitute the values:
$$V=\frac{22}{7}\times 14\times 14\times 7$$
$$V=22\times 14\times 14$$
$$V=22\times 196$$
$$V=4312{\text{ cm}}^3$$