What is the volume of carbon media in a tank with a diameter of 50' and depth of 20'?

What is the volume of carbon media in a tank with a diameter of 50' and depth of 20'?

• A. 9,000 ft^3
• B. 11,775 ft^3
• C. 12,500 ft^3
• D. 15,000 ft^3

Answer: (C)

To find the volume of carbon media in 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 cylinder, - \( h \) is the height (or depth) of the cylinder, - \( \pi \) is approximately 3.14. In this case, the diameter of the tank is 50 feet, which means the radius is half of that: \[ r = \frac{50}{2} = 25 \text{ feet} \] The depth (height) of the tank is given as 20 feet. Plugging the radius and height into the volume formula gives: \[ V = \pi (25)^2 (20) \] \[ V = \pi (625) (20) \] \[ V = \pi (12,500) \] Now, using the approximate value of \( \pi \): \[ V \approx 3.14 \times 12,500 \] \[ V \approx 39,250 \text{ ft}^3 \] However, since we

To find the volume of carbon media in 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 cylinder,

• ( h ) is the height (or depth) of the cylinder,

• ( \pi ) is approximately 3.14.

In this case, the diameter of the tank is 50 feet, which means the radius is half of that:

[ r = \frac{50}{2} = 25 \text{ feet} ]

The depth (height) of the tank is given as 20 feet. Plugging the radius and height into the volume formula gives:

[ V = \pi (25)^2 (20) ]

[ V = \pi (625) (20) ]

[ V = \pi (12,500) ]

Now, using the approximate value of ( \pi ):

[ V \approx 3.14 \times 12,500 ]

[ V \approx 39,250 \text{ ft}^3 ]

However, since we