Calculate the circumference of the bicycle wheel.

The diameter ($d$) is $63 \text{ cm}$. The circumference ($C$) is given by the formula $C = \pi d$. We are given $\pi = \frac{22}{7}$.

$$C = \frac{22}{7} \times 63 \text{ cm}$$ $$C = 22 \times 9 \text{ cm}$$ $$C = 198 \text{ cm}$$

The distance traveled in one revolution is the circumference.
Total distance = Circumference $\times$ Number of revolutions

$$\text{Total distance} = 198 \text{ cm} \times 100$$ $$\text{Total distance} = 19800 \text{ cm}$$

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

$$\text{Total distance in meters} = \frac{19800}{100} \text{ m}$$ $$\text{Total distance in meters} = 198 \text{ m}$$

The bicycle travels 198 meters for 100 revolutions.

$$\text{198 m}$$