What is the volume in gallons of a cylindrical tank that is 3 feet in height and 2 feet in diameter?

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.

In this case, the diameter of the cylinder is 2 feet, which means the radius ( r ) is half of that:

[ r = \frac{2 \text{ feet}}{2} = 1 \text{ foot} ]

The height ( h ) is given as 3 feet. Now plug these values into the volume formula:

[ V = \pi (1 \text{ foot})^2 (3 \text{ feet}) ]

[ V = \pi (1) (3) ]

[ V = 3\pi \text{ cubic feet} ]

Next, we need to convert the volume from cubic feet to gallons, knowing that 1 cubic foot is approximately 7.48 gallons:

[ 3\pi \text{ cubic feet} \times 7.48 \text{ gallons/c