Question

farmer connects A pipe of internal diameter 20cm from external to into a cylindrical trunk which is 10 metre in diameter and 4 metre deep water flows to the pipe at the rate of 8 kilometre per hour in how much time will the tank be filled​

Answer 1

Answer:

hello I am interested in the position and would like to know if you have any questions please feel free to contact me at any time and I will

Answer 2

Answer:

Step-by-step explanation:

⇒Radius (r1​) of circular end of pipe =20020​=0.1 m

⇒Area of cross-section =π×r12​=π×(0.1)2=0.01π sq. m

⇒Speed of water =3 kilometer per hour = 603000​=50 meter per minute.

⇒Volume of water that flows in 1 minute from pipe = 50×0.01π=0.5π cu. m

⇒From figure 2, Volume of water that flows in t minutes from pipe = t×0.5π cu. m

⇒Radius (r2​) of circular end of cylindrical tank = 210​=5 m

⇒Depth (h2​) of cylindrical tank =2 m

⇒Let the tank be filled completely in t minutes.

⇒The volume of water filled in tank in t minutes is equal to the volume of water flowed in t minutes from the pipe.

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

Therefore, t×0.5π=πr22​×h2​

⇒t×0.5=52×2

⇒t=0.525×2​

⇒t=100

Therefore, the cylindrical tank will be filled in 100 minute.