Answer:
Detention time will be 9 days
Step-by-step explanation:
We have given diameter of setting tank d = 50 feet
Radius of setting tank
![r=(d)/(2)=(9)/(2)=25 feet](https://img.qammunity.org/2020/formulas/engineering/college/dyfk71bw18dl35hqw7rdfmlo1tjwib3e08.png)
SWD = 9 FEET
Area
![A=\pi r^2=3.14* 25^2=1962.5ft^2](https://img.qammunity.org/2020/formulas/engineering/college/361uobgt6lqgw38zmc7h7nmc2rv9o8ud8s.png)
So volume
![V = area* SWD=1962.5* 9=17671.5ft^3](https://img.qammunity.org/2020/formulas/engineering/college/isf6az4nyum7v65b1n0fvov94z9orwr1h0.png)
We have given flow Q = 15000 gpd
So Q= 15000×0.13368 =2005.22
per day
Detention time is given by
![=(volume)/(Q)=(17671.5)/(2005.22)=9days](https://img.qammunity.org/2020/formulas/engineering/college/d41beeq8ehnt11fqtva8dymg1uulu0yewb.png)
So detention time will be 9 days