Question
Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 min is diameter . how long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm ?
Answer: Option B
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Volume flown in conical vessel = `1/3 pi xx (20)^2 xx 24`= `3200 pi`
Volume flown in 1 min = `( pi xx 2.5/10 xx 2.5/10 xx 1000)` = `62.5 pi`
`:.` Time taken = `((3200 pi)/(62.5 pi))` = 51 min. 12 sec.
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