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CBSE Class 9 Answered

Water is running through a six centemeter outlet with speed six kilometers per hour.how much time it will take to fill a cuboidal tank of dimensions 60×40×10 metre cube?
Asked by pramoddaniadv | 21 Nov, 2018, 09:26: AM
answered-by-expert Expert Answer
It is assumed that 6 cm outlet pipe means, pipe diameter is 6 cm.
 
Volumetric flow rate = pipe area × flow speed = begin mathsize 12px style fraction numerator straight pi cross times 6 cross times 6 cross times 10 to the power of negative 4 end exponent over denominator 4 end fraction space cross times 5 over 3 space space m cubed divided by s space equals space 15 straight pi cross times 10 to the power of negative 4 end exponent space straight m cubed divided by straight s end style
volume of tank = 60×40×10 m3
 
time taken to fill the tank = begin mathsize 12px style fraction numerator 60 cross times 40 cross times 10 over denominator 15 straight pi end fraction cross times 10 to the power of 4 space s space space equals space fraction numerator begin display style 60 cross times 40 cross times 10 end style over denominator begin display style 15 straight pi cross times 3600 end style end fraction cross times 10 to the power of 4 space equals space 1415 space h o u r s end style
Answered by Thiyagarajan K | 21 Nov, 2018, 10:33: AM

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