Answer:
The formula for the volume of a cylinder is given by:
V = πr^2h
where r is the radius and h is the height of the cylinder.
For the given cylinder, the radius is 4.5 inches and the height is 14 inches, so we have:
V = π * 4.5^2 * 14 = π * 20.25 * 14
V = 282.43 π cubic inches
Rounding to the nearest cubic inch, the volume of the cylinder is approximately 282 cubic inches (using 3.14 for π)