How much water does an 8' diameter tank that is 20' deep and has 5'4" of water in it hold in volume?

To determine the volume of water in an 8' diameter tank that is 20' deep and currently holds 5'4" of water, one needs to calculate the volume of a cylinder, which is the shape of the tank.

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

[ V = \pi r^2 h ]

where ( V ) is the volume, ( r ) is the radius of the base, and ( h ) is the height of the water.

First, convert the diameter to radius. Since the tank has an 8' diameter, the radius is:

[ r = \frac{8'}{2} = 4' ]

Next, convert the height of the water (5'4") to feet:

5 feet + ( \frac{4}{12} ) feet = 5 + 0.3333 = 5.3333 feet approximately.

Now, plug the radius and the height of the water into the volume formula:

[ V = \pi (4')^2 (5.3333') ] [ V \approx 3.14159 \times 16 \times 5.3333 ] [ V \approx