Question

water flow at a rate of 10m per minute from a cylindrical pipe 5mm in diameter a conical vessel whose diameter at the base is 40cm and depth is 24cm is filled the time taken to fill the tank

Answer 1

Heya,

Answer to your question is:-

Radius of the pipe = 5/2 mm = 5/2 x 1/10 cm = 1/4 cm


Speed of water = 10 m/min = 1000 cm/min


Volume of water that flows in 1 minute = Π r2 h = 22/7 x 1/4 x 1/4 x 1000 = 1375/7 cm3


Radius of conical vessel = 40/2 = 20 cm; Depth = 24 cm


Therefore, Capacity of the vessel = 1/3 x Π r2 h


= 1/3 x 22/7 x 20 x 20 x 24 = 70400/7 cm3


Therefore, Time required to fill the vessel = capacity of the vessel / volume of water flowing per minute


= 70400/7 / 1375/7 = 70400/7 x 7/1375 = 256/5 minutes

= 51 min 12 sec ANSWER...

HOPE THIS HELPS YOU:-))
@Ashu

Answer 2

= 51 min 12 sec is Answer
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