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Question
Water flows at the rate of 10 m per minute through a cylindrical pipe 5 mm of diameter. How much time would it take to fill a conical vessel whose diameter at he surface is 40 cm and depth is 24 cm?
Solution
Volume that flows in 1 min = [ π x (0.25)2 x 1000 ] cm3
Volume of the conical vessel = `1/3`π x (20)2 x 24 cm3
Required time = `(1/3π xx (20)^2 xx 24)/(π xx (0.25)^2 xx 1000)`
= 51 min 12 sec.
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