Your ground storage tank is 15 feet high and 30 feet in diameter. About how much water can it hold?

Your ground storage tank is 15 feet high and 30 feet in diameter. About how much water can it hold?

• A. 31,700 gallons
• B. 79,270 gallons
• C. 50,490 gallons
• D. 25,150 gallons

Answer: (B)

To determine the volume of water a cylindrical ground storage tank can hold, you can use the formula for the volume of a cylinder: \[ V = \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius of the cylinder, and \( h \) is the height. In this case, the tank has a diameter of 30 feet, which means the radius is half that size—15 feet. The height of the tank is given as 15 feet. Plugging in the numbers: 1. Calculate the radius squared: \[ r^2 = 15^2 = 225 \, \text{square feet} \] 2. Use the height: \[ h = 15 \, \text{feet} \] 3. Now, substitute these values into the volume formula: \[ V = \pi (225)(15) \] 4. Simplifying further, you get: \[ V = 3375\pi \, \text{cubic feet} \] 5. Using the approximate value of \( \pi \) (3.14), the volume in cubic feet is: \

To determine the volume of water a cylindrical ground storage tank can hold, you can use the formula for the volume of a cylinder:

[ V = \pi r^2 h ]

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

In this case, the tank has a diameter of 30 feet, which means the radius is half that size—15 feet. The height of the tank is given as 15 feet.

Plugging in the numbers:

1. Calculate the radius squared:

[ r^2 = 15^2 = 225 , \text{square feet} ]

2. Use the height:

[ h = 15 , \text{feet} ]

3. Now, substitute these values into the volume formula:

[ V = \pi (225)(15) ]

4. Simplifying further, you get:

[ V = 3375\pi , \text{cubic feet} ]

5. Using the approximate value of ( \pi ) (3.14), the volume in cubic feet is:

\