Water flows at the rate of 10 metres per minutes from a cylindrical p…

Question

Water flows at the rate of 10 metres per minutes 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 ?

Accepted Answer

Option B. 51 minutes 12 seconds. Answer & Solution Answer: Option B Solution: Volume flown in conical vessel : & = 1/2 × ( 20 )^2 × 24 & = 3200 Volume flown in 1 minute : & = ( × 2.510 × 2.510 × 1000 ) & = 62.5 ∴ Time taken : & = ( 3200 62.5 ) & = 51 minutes 12 seconds