A cylindrical pipe has inner diameter of 14 cm. Water flows through it at a rate of 154 litres per minute. What is the speed of water in km/hr? (Take \pi=\frac{22}{7})

  1. A. 0.5
  2. B. 0.6
  3. C. 0.8
  4. D. 1

Correct Answer: B. 0.6

Explanation

Radius r = 7 cm. Area = \frac{22}{7} \times 7^2 = 154 \text{ cm}^2. Flow rate = 154 \text{ L/min} = 154000 \text{ cm}^3\text{/min}. Speed = \frac{\text{Volume}}{\text{Area}} = \frac{154000}{154} = 1000 \text{ cm/min} = 10 \text{ m/min}. In km/hr, speed = 10 \times \frac{60}{1000} = 0.6 km/hr.

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