91Ó°ÊÓ

The formula for volume me of a cylinder is $V=\mathrm{Ï€}{r}^{2}h$, where V is the volume, r is the radius and h is the height of the cylinder.

The formula for the radius of a cylinder is $r=\frac{d}{2}$, where d is the diameter of the cylinder.

It is clear, from the given figure, that the diameter of the cylinder is 14 in. and the height of the cylinder is 18 in.

Then, $d=14\mathrm{in}.$and$h=18\mathrm{in}.$

Put $d=14$in $r=\frac{d}{2}$to get,

$$\begin{gathered} r=\frac{14}{2} \\ =7 \end{gathered}$$

So, $r=7$.

Put $r=7$, $h=18$and $\mathrm{Ï€}=\frac{22}{7}$in $V=\mathrm{Ï€}{r}^{2}h$to get,

$$\begin{gathered} V=\left(\frac{22}{7}\right){\left(7\right)}^2\left(18\right) \\ =22×7×18 \\ =2772 \end{gathered}$$

So, $V=2772$.

Since the unit of both diameter and height of the cylinder is given as inches, the unit of volume must be cubic inches.

So, the volume of the cylinder is 2772 cubic inches.

Rounding to the nearest tenth, the volume of the given cylinder is 2772.0 cubic inches.