Question

40. Irrigation canals are used to move water from a source (whether it is a stream, reservoir or holding tank). Al
connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in his field, which is 10 m in diame
and 2 m deep. It water flows through the pipe at the rate of 6 km/h, in how much time will the tank be mica​

Answer 1

The tank will be filled in 100 minutes.

Step-by-step explanation:

• Radius (r1) of circular end of pipe = 20 / 200 = 0.1 m
• Area of cross-section = π x  r1^2 = π x (0.1)^2 = 0.01 π m^2
• Speed of water = 3  km / h =  3000  / 60  = 50 m / minute

Volume of water flowing per minute through the pipe.

= 50 x 0.01 x  π =0.5 x π m^3

Volume of water that flows in t minutes from pipe = t x 0.5 π m^3

Radius (r 2) of circular end of cylindrical tank =  10 / 2 =  5 m

Depth (h 2) of cylindrical tank = 2 m

Volume of water that flows in t minutes from pipe = Volume of water in tank

Therefore, t x 0.5 π = π r(2)^2 x h2

=> t × 0.5 = 5  2  × 2

t =  25×2  / 0.5

t = 100 minutes

Hence the tank will be filled in 100 minutes.

Also learn more

How many litres of water flows out of a pipe having an area of cross section 5 cm square in 1 minutes if the speed of water in the pipe is 30 cm per second ?

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Answer 2

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