Question

A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends:

Answer 1

Answer:

Correct option: fourth one -> 254 cubic inches.

Step-by-step explanation:

The volume of a cylinder is given by the equation:

$Volume = \pi * radius^2 * height$

To calculate the internal volume of the pipe, we should use its internal radius.

The external radius of the pipe is half of the diameter, and the internal radius is the external radius minus the thickness of the pipe, so we have:

$internal\ radius = external\radius - thickness\\internal\ radius = \frac{6}{2} - 0.75\\internal\ radius = 2.25\ in$

Then, using the internal radius in the volume equation, we have that:

$Volume = \pi * 2.25^2 * 16$

$Volume = 254.47\ in3$

So the correct option is the fourth one: Volume is approximately 254 cubic inches.