Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
find the volume, in cubic inches, of the composite solid below, which consists of a 4-inch square solid rectangular bar that is 16 inches in length. the bar has a 2-inch diameter cylinder hole cut out of the center of the bar from the top of the bar through the entire length of the bar. use $pi = 3.14$ to find the volume. enter only the number.
the solution is ____

Explanation:

Step1: Calculate volume of rectangular bar

The bar is a square prism with side length 4 in, length 16 in. Volume formula: $V_{\text{prism}} = s^2 \times l$
$V_{\text{prism}} = 4^2 \times 16 = 16 \times 16 = 256$ cubic inches

Step2: Calculate volume of cylindrical hole

Diameter = 2 in, so radius $r = \frac{2}{2} = 1$ in, length = 16 in. Volume formula: $V_{\text{cylinder}} = \pi r^2 l$
$V_{\text{cylinder}} = 3.14 \times 1^2 \times 16 = 3.14 \times 16 = 50.24$ cubic inches

Step3: Subtract hole volume from prism volume

Composite volume = $V_{\text{prism}} - V_{\text{cylinder}}$
$V_{\text{composite}} = 256 - 50.24$

Answer:

205.76