How many gallons are to be removed from a storage tank that is 30 feet tall with a diameter of 120 feet if 8 feet of water is to be pumped?

To determine how many gallons are to be removed from the storage tank, first, you need to find the volume of the water to be pumped out. The tank can be thought of as a cylinder, and the formula for the volume of a cylinder is given by:

[ V = \pi \times r^2 \times h ]

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

In this scenario, the diameter of the tank is 120 feet, which means the radius is half of that:

[ r = \frac{120}{2} = 60 \text{ feet} ]

Since you are pumping out 8 feet of water, ( h ) in this case is 8 feet. Plugging these values into the volume formula gives:

[ V = \pi \times (60)^2 \times 8 ]

Breaking this down step by step:

1. Calculate the radius squared:

[ 60^2 = 3600 ]

2. Multiply by the height:

[ 3600 \times 8 = 28800 ]

3. Multiply by ( \pi ) (approximately 3