Texas TCEQ Class C Water License Practice

Question: 1 / 400

What is the approximate total volume of a circular tank in gallons, if it is 30 feet in diameter and 15 feet deep?

60,000 gallons

79,300 gallons

To determine the approximate total volume of a circular tank in gallons, we first need to calculate the volume in cubic feet and then convert that to gallons.

The formula for the volume of a cylinder is given by:

\[ \text{Volume} = \pi r^2 h \]

In this case, the diameter of the tank is 30 feet, which gives a radius \( r \) of 15 feet (since the radius is half the diameter). The depth \( h \) of the tank is 15 feet.

Using the formula, we calculate:

1. Calculate the area of the circular base:

\[ \text{Area} = \pi (15)^2 = \pi (225) \approx 706.86 \text{ square feet} \]

2. Then, multiply by the height (depth) of the tank to find the volume in cubic feet:

\[ \text{Volume} = 706.86 \times 15 \approx 10,602.9 \text{ cubic feet} \]

Next, to convert cubic feet to gallons, we use the conversion factor where 1 cubic foot is approximately 7.48 gallons.

3. Therefore, converting the volume to gallons

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90,000 gallons

100,000 gallons

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