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Surface Areas And Volumes

Question 9:

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

Answer:

Consider an area of cross-section of pipe as shown in the figure.

Radius (r1) of circular end of pipe =

Area of cross-section =

Speed of water = 3 km/h =

Volume of water that flows in 1 minute from pipe = 50 ×= 0.5π m3

Volu…

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