How many revolutions approximately will a wheel of 56 cm diameter make in traveling 22 km?

Correct option is C

Given:
Diameter of wheel = 56 cm
Radius = 56/2 = 28
Distance travelled = 22 km = 2,200,000 cm
Required: Number of revolutions

Formula Used:
​$$\text{Number of Revolutions} = \frac{\text{Total Distance Travelled}}{\text{Circumference of the Wheel}}$$

Solution:

Circumference of the wheel:

$$C = 2\pi r = 2 \times \pi \times 28 = 176 \, \text{cm (approx.)}$$

$$\text{Number of Revolutions} = \frac{2200000}{176} \approx 12500$$

Final Answer: (C) 12500