Question

Please tell the answer of this....
I have my exam tomorrow........
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Answer 1

Answer:

Time required to fill the cistern is 5/3 hours

Step-by-step explanation:

Flow rate Q= 3km/hr =3000\3600=0.0833 m /s

Height h= 3km = 3000m

Pipe Diameter D= 20 cm => R=10 cm =0.1 m

Volume of water flowing through the pipe  is

$V= \pi R^2H\\V=\pi \times 0.1^2 \times3000\\V=94.24 m^3$

Volume of the cistern is( here h=2m , r=5m)

$V= \pi r^2h\\V=\pi \times 5^2 \times2\\V=157.07 m^3$

Time required to fill the cistern is

$t=\frac{Volume of cistern}{Volume water flowing in one hour} \\t=\frac{150.07}{94.24} \\t=1.66 hour =5/3 hours$

Time required to fill the cistern is 5/3 hours