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in Surface Areas And Volumes by (56.3k points)

Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank, the radius of whose base is 60 cm. Find the rise in the level of water in 30 minutes?

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We have,

Internal diameter of pipe = 2 cm

Internal radius of pipe = d/2 = 2/2 = 1cm

Rate of flow of water = 6 m/s = 600 cm/s

Radius of base of cylindrical tank = 60 cm

Rise in height in cylindrical tank = rate of flow of water × total time × volume of pipe / volume of cylindrical tank

= (600 × 30 × 60 × π × 1 × 1) / (π × 60 × 60)

= 1080000/3600

= 300 cm

= 3m

∴ Rise in water level is 3m.

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