Last updated at July 5, 2019 by Teachoo

Transcript

Ex 13.3, 9 A farmer connects a pipe of internal diameter 20 cm from 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? Let length of pipe for filling whole tank be h m. So, Volume of pipe = Volume of tank Volume of pipe Pipe is in form of cylinder where Let Height = h m Diameter = 20 cm So, radius = ๐๐๐๐๐๐ก๐๐/2 = 20/2 = 10 cm = 10 ร 1/100 m = 1/10 m Volume of pipe = Volume of cylinder = ๐r2h = ๐(1/10)^2 h = ๐ ร 1/100 ร h = ๐โ/100 Volume of tank Tank is in form cylinder where Diameter = 10 m Radius = r = 10/2 m = 5 m Height = h = 2 m Volume of tank = ๐r2h = ๐(5)^2 ร 2 = ๐ ร 25 ร 2 = 50๐ Now, Volume of pipe = Volume of tank ๐โ/100 = 50๐ h = (50๐ ร100 )/๐ h = 5000 m h = 5 km Now, Water in pipe flows at rate 3 km/hr So, 3 km travels in pipe in = 1 hour 1 km travels in pipe in = 1/3 hr 5 km travels in pipe in = 5/3 hr = 5/3 ร 60 minutes = 5 ร 20 minutes = 100 minutes. So, in 100 minutes, the tank will be filled

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.