What is the volume of a tank in gallons with a 7 foot diameter and 17 feet tall?

To determine the volume of a cylindrical tank, the formula used is:

[ V = \pi r^2 h ]

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

1. First, calculate the radius. The diameter of the tank is given as 7 feet, so the radius is half of that:

[ r = \frac{7}{2} = 3.5 \text{ feet} ]

2. Now, substitute the values into the volume formula. The height ( h ) is given as 17 feet:

[ V = \pi (3.5)^2 (17) ]

3. Calculate ( (3.5)^2 ):

[ (3.5)^2 = 12.25 ]

4. Next, multiply this by the height:

[ 12.25 \times 17 = 208.25 ]

5. Finally, multiply by ( \pi ) (approximately 3.14159):

[ V \approx 3.14159 \times 208.25 \approx 654.70 \text{