Water is flowing at the rate of 7 metres per second through a circular pipe
internal diameter is 2 cm into a cylindrical tank the radius of whose base is 40 find
increase in the water level in 1/2 hour.
Answers
The increase in water level in 1/2 hour is 788 cm.
Explanation:
Rate of flow of water =7 m/sec = 700 cm/sec
Length of the water column in 1 / 2 hours= ( 700 x 30 x 60 ) cm
hours=(700×30×60)cm
Water column is made up of a cylinder of radius 1 cm and length (700×30×60) cm
Volume of the water that flows in the tank in 1 / 2 hour
= ( 22/7 ×1 × 1 × 700 × 30 × 60)cm^3 ........(1)
Volume of the water in the tank = 22 / 7 x 40 x 40 x h x cm^3 .....(2)
From equations (1) and (2) we have
22 / 7 x 40 x 40 x h = 22 / 7 x 1 x 1 x 700 x 30 x 60
h = 788 cm
Hence the increase in water level in 1/2 hour is 788 cm.
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Water rises in a capillary tube to a height of 2 cm.In another capillary tube whose radius is one third of it,how much will the water rise ?If the first capillary tube is inclined at an angle 60 with the vertical , then what will be the position of water in the tube?
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