A 3 inch diameter pipe that is 20 feet long contains how many cubic inches of water?

• A. 1,500 cubic inches
• B. 1,695.6 cubic inches
• C. 1,800 cubic inches
• D. 2,000 cubic inches

Answer: (B)

To determine the volume of water contained within a 3-inch diameter pipe that is 20 feet long, we first need to calculate the volume of a cylinder, which is the shape of the pipe. The formula for the volume of a cylinder is:

[ V = \pi r^2 h ]

Where:

• ( V ) is the volume,

• ( r ) is the radius of the cylinder, and

• ( h ) is the height or length of the cylinder.

For a 3-inch diameter pipe, the radius ( r ) is half of the diameter:

[ r = \frac{3}{2} = 1.5 \text{ inches} ]

Next, we need to convert the length of the pipe from feet to inches, since the diameter is given in inches. There are 12 inches in a foot, so:

[ h = 20 \text{ feet} \times 12 \frac{\text{inches}}{\text{foot}} = 240 \text{ inches} ]

Now, substituting the radius and height into the volume formula:

[ V = \pi (1.5)^2 (240) ]

Calculating ( (1.5