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Volume of a Cylinder

A circular pr...

Question

A circular primary clarifier processes an average flow of 5005 $m^{3} / d$ of municipal waste water. The overflow rate is 35 $m^{3} / m^{2} / d$ . The diameter of clarifier shall be

A

13.5 m

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B

12.5 m

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C

11.5 m

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D

10.5 m

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Solution

The correct option is A $13.5 m$
$Overflow rate = \frac{Average flow}{Area}$

$\Rightarrow 35 = \frac{5005}{A}$

$\Rightarrow A = \frac{5005}{35} = 143$

For circular pipe

$A = \frac{π d^{2}}{4}$

$\Rightarrow 143 = \frac{π d^{2}}{4}$

$\Rightarrow d = 13.49 m$

$≃ 13.5 m$

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