Virginia Wastewater Class 4 Practice Exam

Question: 1 / 400

Calculate the detention time in hours for a circular tank with a flow of 1.42 MGD. The tank is 45 feet in diameter and 10 feet deep.

2 hours

To calculate the detention time for the circular tank, it is essential to determine both the volume of the tank and the flow rate in a consistent unit, then use the formula for detention time.

First, calculate the volume of the circular tank. The formula for the volume \( V \) of a cylindrical tank is given by:

\[

V = \pi r^2 h

\]

where \( r \) is the radius of the tank and \( h \) is the height (or depth) of the tank. In this case, the diameter of the tank is 45 feet, which means the radius \( r \) is half of that:

\[

r = \frac{45 \text{ ft}}{2} = 22.5 \text{ ft}

\]

The depth \( h \) is given as 10 feet. Now substituting these values into the volume formula:

\[

V = \pi (22.5 \text{ ft})^2 (10 \text{ ft}) = \pi (506.25 \text{ ft}^2) (10 \text{ ft}) = 5062.5 \pi \text{ ft}^3

\]

Next, calculating

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