Calculate the volume of a tank that is 100 feet in diameter and 12 feet deep.

To determine the volume of a tank that is shaped like a cylinder, you can use the formula for the volume of a cylinder, which is:

[ V = \pi r^2 h ]

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

In this case, the tank has a diameter of 100 feet, so the radius ( r ) would be half of the diameter:

[ r = \frac{100}{2} = 50 \text{ feet} ]

The depth of the tank is given as 12 feet, which will serve as the height ( h ).

Now, plug these values into the volume formula:

[ V = \pi (50)^2 (12) ]

First, calculate ( r^2 ):

[ (50)^2 = 2500 ]

Now, substitute that value back into the volume equation:

[ V = \pi \times 2500 \times 12 ]

Now, multiply ( 2500 ) by ( 12 ):

[ 2500 \times 12 = 30000 ]

Next, multiply by ( \pi