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water is flowing at 7m/sec through …

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water is flowing at 7m/sec through a circular pipe of internal diameter 4 cm into a cylindrical tank the radius of whose base is 40 cm find the increased water level in 30 minutes
  • 1 answers

Sia ? 6 years, 6 months ago

{tex}{/tex}According to the question,we have the following information,
Volume of water in 30 minutes {tex}= \pi \times ( 2 ) ^ { 2 } \times 700 \times 60 \times 30 \mathrm { cm } ^ { 3 }{/tex}
Let height of water in tank = h cm
and radius = 40 cm
Volume of water in the tank {tex}\pi ( 40 ) ^ { 2 } \times h = 700 \times 60 \times 30 \times 4 \times \pi{/tex}
or, {tex}h = \frac { 700 \times 60 \times 30 \times 4 } { 40 \times 40 }{/tex}
{tex}= \frac { 6300 } { 2 } \mathrm { cm } = \frac { 63 } { 2 } \mathrm { }{/tex}
=31.5 meters
Hence, water level increased = 31.5 metres

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