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A municipal corporation is required to treat 1000 m3/day of water. It is found that an overflow rate of 20 m/day will produce a satisfactory removal of the discrete suspended particles at a depth of 3m. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be_______

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\(Q = 1000\frac{{{m^3}}}{{day}}\)

Overflow Rate = 20 m/day

H = 3m

Surface Area of circular Tank

\(= \frac{{1000}}{{20}} = 50{m^2}\)

Assuming diameter to be ‘d’

Hence, \(\frac{\pi }{4} \times {d^2} = 50\)

\(d = \sqrt {\frac{{50 \times 4}}{\pi }} = 7.98 = \;8\;m\)

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