Think of this as unrolling a carpet to cover a floor; if you know the total floor area and the width of the carpet roll, the length needed is simply the area divided by the width.

The curved surface area ($CSA$) of a cone is given by $CSA = \pi r l$. Given diameter $d = 14$ m, the radius $r = 7$ m. With slant height $l = 9.5$ m, $CSA = \frac{22}{7} \times 7 \times 9.5 = 209$ square metres. Since the area of the rectangular cloth is $length \times width$ and the width is 2 m, we have $L \times 2 = 209$, which yields $L = 104.5$ metres.

In geometry problems, always convert diameter to radius first to avoid common calculation errors in $\pi r l$ formulas.