water flows at the rate of 10 metres per minute from a..., Area & Volume, General Mathematics

Question:Water flows at the rate of `10` metres per minute from a cylindrical pipe `5` mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is`40` cm and depth `24` cm ?

A `55 min` 
B 52 min. 1 sec.` 
C `51 min. 12 sec.` 
D `48 min. 15 sec.

/113

+ AnswerC

+ ExplanationVolume flown in conical vessel 

`= 1/3 π xx (2o)^2 xx 24`

`= 3200 π`

Volume flown in `1` min

`= (π xx 2.5/10 xx 2.5/10 xx 1000)`

`= 62.5 π.`

:. Time taken 

`= (3200π)/(62.5π)`

`51 min. 12 sec.`

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