Answer: 144 inches³.
Step-by-step explanation: To find the volume of a cylinder, start with the formula for the volume of a cylinder.
[tex]Volume = \pi r^{2} h[/tex]
In this problem, we are given the radius which is 9 inches and the height which is 4 inches so we can plug these numbers into our formula.
[tex]Volume = (\pi) (4 in)^{2} (9 in)[/tex]
Let's simplify the exponent before we move any further into the problem. Remember that 4 inches² is the same thing as 4 inches × 4 inches or 16 inches². Now, we can plug 16 into our formula.
[tex]Volume = (\pi) (16 in^{2}) (9 in)[/tex]
Now, 16 in.² × 9 in. is 144 inches³.
Therefore, the volume of the cylinder is 144π inches³.
