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Question

Water flows at the rate of 10m per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the base is 40cm and depth 24cm?

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Solution

R.E.F image
Volume of cone =13×r2h

=13×3.14×20×20×24

=3.14×400×8

=10048cm3

Volume flown in 1 min =πr2h

=3.14×2.510×2.510×1000cm3

=196.25cm3

time taken =10048196.25=51.2

51 minutes and 2 seconds

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