V = 162π in^3
Explanation:
Since rotation a rectangle on its side result to a cylinder.
We'll use the formula for the volume of a cylinder with 8in being the height (since the rectangle is rotated around that side) and 9 in as the diameter.
Data:
Radius : r = diameter / 2 = 9/2 = 4.5 in
Height : h = 8 in
Formula:
[tex]V=\pi *r^2*h[/tex]
Solution:
[tex]\begin{gathered} V=\pi *4.5^2*8 \\ V=162\pi\text{ }in^3 \end{gathered}[/tex]
