What is the volume of a tank 10 feet in diameter and 25 feet tall?

• A. 12,000 gal
• B. 14,680 gal
• C. 15,000 gal
• D. 10,200 gal

Answer: (B)

To find the volume of a cylindrical tank, you can use the formula for the volume of a cylinder, which is:

[ Volume = \pi r^2 h ]

where ( r ) is the radius of the cylinder, ( h ) is the height, and ( \pi ) (pi) is approximately 3.14.

Given that the diameter of the tank is 10 feet, the radius is half of the diameter:

[ r = \frac{10}{2} = 5 \text{ feet} ]

The height ( h ) of the tank is 25 feet. Now, substituting these values into the volume formula:

[ Volume = \pi (5^2) (25) ]

Calculating the radius squared:

[ 5^2 = 25 ]

Now, substituting that back into the volume equation:

[ Volume = \pi \times 25 \times 25 ]

[ Volume = \pi \times 625 ]

Now, approximating ( \pi ):

[ Volume \approx 3.14 \times 625 ]

Calculating this gives:

[ Volume \approx 1962.5 \text{ cubic feet} ]

To