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Grade 10Analytical Geometry

Water flows from a tap at rate of 10 meters/seconds into a cylindrical tank whose diameter is 2 meter and whose height is 4.9 meters. If the inner radius of the tap is 3.5 cm, find the time required to fill this tank in minutes and seconds. (Take Π =22/7)

Profile image of sudesh
8 Years agoGrade 10
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1 Answer

Profile image of Khimraj
8 Years ago
Volume of tank = πr2h = (22/7)(2/2)2(4.9) =15.4m3
Let it takes time t seconds then
(volume of water through tap per second)*t = 15.4m3
(22/7)(3.5/100)2(10)*t = 15.4m3
(0.0385m3/s)*t = 15.4m3
t = 400 seconds = 6 minutes and 40 seconds.
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