A bicycle wheel makes 5000 revolutions in moving 11 km. What is the radius of the wheel? (Assume \pi=\frac{22}{7})

  1. A. 17.5 cm
  2. B. 35 cm
  3. C. 70 cm
  4. D. 140 cm

Correct Answer: B. 35 cm

Explanation

Distance covered in one revolution is the circumference 2\pi r = \frac{11 \text{ km}}{5000} = \frac{11000 \text{ m}}{5000} = 2.2 \text{ m} = 220 \text{ cm}. Thus, 2 \times \frac{22}{7} \times r = 220 \Rightarrow r = \frac{220 \times 7}{44} = 35 \text{ cm}.

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