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Water flows at the rate of 10 meter per ...

Water flows at the rate of 10 meter per minute through a cylindrical pipe having diameter as 5 mm. How much time will it take to fill a conical vessel whose diameter of base is 40 cm and depth 24 cm?

Text Solution

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Let the time taken= t minutes
`V_t=(pir^2)l`
`=pi(25/100)^2*1000 t cm^3`
`r=2.5mm`
`V_t=V_(conical)`
`pi*25^2/100^2*1000t=1/3pi*20^2*24`
t=51 min 12 sec.
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