A farmer connects a pipe of internal diameter 20cm from a canal into a cylindrical tank in her field, which is 10m in diameter and 2m deep. If water flows through the pipe at the rate of 3km/hr, in how much time will the tank be filled?

# A farmer connects a pipe of internal diameter 20cm from a canal into a cylindrical tank in her field, which is 10m in diameter and 2m deep. If water flows through the pipe at the rate of 3km/hr, in how much time will the tank be filled?

1. A
2hr
2. B
5hr
3. C
1.67hr
4. D
2.30hr

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### Solution:

Volume of pipe = volume of tank
$⇒\pi {r}^{2}h=\pi {R}^{2}H$
$⇒{\left(\frac{10}{100}\right)}^{2}×h={5}^{2}×2$
$⇒\frac{h}{100}×50$

Hence, Option (3) is the correct answer.

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