Question

A cylindrical tank has a hole of 1cm2 in its bottom. If the water is allowed to flow in the tank from above it at the rate of 70 cm3/sec then maximum height upto which water can rise in tje tank is

Answer 1

The height to which water can rise is 2.5 cm

Explanation:

• The volume of water flowing into the tank per second becomes equal to the volume flowing out per second.

• Volume of water flowing out per second =A √2gh  
• ​Volume of water flowing in per second =70 cm^3/s

A √2gh =70  

2gh   = 70

1 √ 2 x 980 x h = 70

2 × 980 × h  = 70

h = 4900 / 1960 = 2.5 cm

Thus the height to which water can rise is 2.5 cm

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Water is flowing at the rate of 15 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide, find the time in which the level of water in the tank will rise by 21 cm.?

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