What is the volume of a 5-foot-diameter pump tank that is 5 feet tall with the inlet 1 foot below the rim?

Prepare for the OSSF Designated Representative Exam. Study with multiple choice questions and explanations to help you succeed. Get ready for the exam and ensure you're well-prepared to become a designated representative!

To determine the volume of the pump tank, we can use the formula for the volume of a cylinder, which is given by:

[ V = \pi r^2 h ]

In this case, the diameter of the tank is 5 feet, which means the radius is half of that:

[ r = \frac{5 \text{ feet}}{2} = 2.5 \text{ feet} ]

The tank is 5 feet tall, but the inlet is located 1 foot below the rim. Therefore, the effective height of the water in the tank is:

[ h = 5 \text{ feet} - 1 \text{ foot} = 4 \text{ feet} ]

Now, substituting the values of the radius and height into the volume formula:

[ V = \pi (2.5 \text{ feet})^2 (4 \text{ feet}) ]

[ V = \pi (6.25) (4) ]

[ V = 25\pi \text{ cubic feet} ]

To convert cubic feet to gallons, we can use the conversion factor that 1 cubic foot is approximately 7.48 gallons:

[ V \approx