What is the volume of a cylindrical tank with an 8 foot diameter and 12 feet tall?

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

[ V = \pi r^2 h ]

where:

• ( V ) is the volume,

• ( r ) is the radius of the base of the cylinder,

• ( h ) is the height of the cylinder.

First, we need to find the radius by dividing the diameter by 2. Given that the diameter is 8 feet:

[ r = \frac{8}{2} = 4 \text{ feet} ]

The height of the cylinder is given as 12 feet. Now we can substitute these values into the volume formula:

[ V = \pi (4)^2 (12) ]

[ V = \pi (16)(12) ]

[ V = \pi (192) ]

Calculating the volume using the approximate value of ( \pi ) (approximately 3.14159):

[ V \approx 3.14159 \times 192 ]

[ V \approx 602.9 \text{ cubic feet} ]

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