How many gallons of water are in a storage tank that is 35 feet tall with 20 feet of water and a diameter of 90 feet?

To determine the number of gallons of water in the storage tank, we first need to calculate the volume of the water in the tank, which has a cylindrical shape.

The formula for the volume of a cylinder is:

[ V = \pi r^2 h ]

where ( r ) is the radius of the cylinder and ( h ) is its height.

In this scenario, the height of the water is 20 feet. The diameter of the tank is given as 90 feet, so we can find the radius by dividing the diameter by 2:

( r = \frac{90 \text{ ft}}{2} = 45 \text{ ft} ).

Now, we can plug the radius and height into the volume formula:

[ V = \pi (45 , \text{ft})^2 (20 , \text{ft}) ]

[ V \approx 3.14159 \times 2025 \times 20 ]

[ V \approx 3.14159 \times 40500 ]

[ V \approx 127,170 , \text{cubic feet} ]

To convert cubic feet to gallons, we use the conversion factor that 1