What is the capacity of a 4-inch pipe that is 18 inches long?

To determine the capacity of a 4-inch pipe that is 18 inches long, it is essential to first calculate the volume of the pipe, which is shaped like a cylinder. The formula for the volume (V) of a cylinder is given by:

[ V = \pi r^2 h ]

Where:

• ( r ) is the radius,

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

• ( \pi ) is approximately 3.14159.

For a 4-inch diameter pipe, the radius ( r ) can be calculated as half of the diameter:

[ r = \frac{4 , \text{inches}}{2} = 2 , \text{inches} ]

The height ( h ) is given as 18 inches. Now, substituting these values into the volume formula:

[ V = \pi (2 , \text{inches})^2 (18 , \text{inches}) ]

[ V = \pi (4 , \text{square inches})(18 , \text{inches}) ]

[ V = \pi (72 , \text{cubic inches