Calculate the circumference of the cylindrical drum.

The diameter ($d$) of the drum is $15 \text{ cm}$. The circumference ($C$) is given by the formula $C = \pi d$. We are given $\pi = \frac{22}{7}$.

$$C = \frac{22}{7} \times 15 \text{ cm}$$ $$C = \frac{330}{7} \text{ cm}$$

The rope makes 28 turns. The total length of the rope is the circumference multiplied by the number of turns.

$$\text{Depth of well} = C \times \text{Number of turns}$$ $$\text{Depth of well} = \frac{330}{7} \text{ cm} \times 28$$ $$\text{Depth of well} = 330 \text{ cm} \times \frac{28}{7}$$ $$\text{Depth of well} = 330 \text{ cm} \times 4$$ $$\text{Depth of well} = 1320 \text{ cm}$$

Since $1 \text{ meter} = 100 \text{ centimeters}$, we divide the depth in centimeters by 100.

$$\text{Depth of well in meters} = \frac{1320}{100} \text{ m}$$ $$\text{Depth of well in meters} = 13.2 \text{ m}$$

The depth of the well is 13.2 meters.

$$\text{13.2 m}$$