Question
The diameter of a cylindrical pipe is 5 mm in which
water is flowing at the rate of 10 m per minute, then find out how much time it will take to fill a cylindrical vessel of 30 cm base diameter and 24 cm height?Solution
Volume of cylindrical vessel = π r²h 2r = 5 mm . = .5cm r = .25 cm = π x .25 x 2.5 x 1000 = (125π)/2 Time taken to fill cylindrical vessel = (Volume of vessel)/(Flow of water per minute) = (πr2h)/((125π)/2) = (π x 15 x 15 x 24)/((125π)/2) = (π x 15 x 15 x 24 x 2)/(π x 125) = 86(2/5) min = 86 min 24 sec
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