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Water is flowing at a rate …

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Water is flowing at a rate of 0.7 m/second through circular pipe whose internal diameter is 2 cm into a cylindrical tank,the radius of whose base is 40 cm.determine the increase in the level of water in half an hour

  • 1 answers

Naveen Sharma 7 years ago

Ans. Let water Level Rise in Tank = x cm

Radius of tank = 

Speed of water = 0.7m/s = 70cm/s

Diameter of Pipe = 2 cm

Radius of Pipe = 1cm

Volume of water flowing In 1 Sec = {tex}{22\over 7}\times 1\times 1\times 70 = 220cm^3{/tex}

Volume of water flowing in half an hour = 

{tex}220\times 1800 = 396000cm^3{/tex}

This Volume = Volume Of Tank

{tex}=> 396000 = {22\over 7}\times 40\times 40\times x{/tex}

 

=> x = 78.75 cm

Water Level increase in tank = 78.75cm

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